Winners of nine of their last 12, including Tuesday's 9-6 win at Seattle, the Rangers find themselves just one game behind AL West leader, Houston, and closing fast.
A month ago, Texas had been given up for dead, but since August 12, the Rangers have gone on an 18-7 tear, while both Houston and the LA Angels have floundered.
The win at Seattle was the second straight for the Rangers, with two more games to go in the four-game series with the Mariners.
Shin-Soo Choo's third inning, three-run homer off Seattle starter, Taijuan Walker, put the Rangers ahead by a 4-0 score, a point from which they were never challenged.
Mitch Moreland, Rougned Odor and Joey Gallo also homered for the Rangers.
Choo has 17 home runs on the season, to go with a .255 batting average and 64 RBI.
Game three of the series is slated for a 7:10 pm PDT start at Safeco Field.
Starlin Castro belted a three-run homer in the second inning and doubled in another run in the seventh, leading the Chicago Cubs to their fifth straight victory and second in a row against the homesteading St. Louis Cardinals.
On the heels of Monday's 9-0 blowout, the Cubs took the second of the three-game series by an 8-5 score, putting up a pair of runs in the first and four in the second inning, sending St. Louis starter, Michael Wacha to an early shower, after having been banged around for six runs on six hits over four innings.
Chicago put up two more runs in the top of the seventh before the Cardinals responded with a five-spot in the bottom of the frame.
Castro also walked in the first inning and scored on Anthony Rizzo's 29th home run giving the Cubs a 2-0 start.
Game three of the series will have the Cubs looking for the road sweep. Game time is 1:45 pm EDT at Busch Stadium.