No. While the Texas Rangers have played in the World Series twice, in 2010 when they lost to the San Francisco Giants, and 2011, when they lost to the St. Louis Cardinals, they have never won a world championship.
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Two. The Texas Rangers lost the 2010 World Series in five games to the San Francisco Giants. A year later, they lost the 2011 World Series to the St. Louis Cardinals.
As of the end of the 2012 season, the Texas Rangers have never won a world series. They played in the World Series in 2010 and 2011, but lost both times.