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comScore noted Apple's steady upward climb when it released on Tuesday quarterly data from its MobiLens service, which surveyed 30,000 mobile subscribers users.
Apple's share of the smartphone market grew 1.1 percent when compared to the fourth quarter of 2011. The figures were up 0.5 percent from Apple's three-month average from February.
The Cupertino, Calif., company's growth was outpaced by the Google Android platform, which grew 3.7 percent sequentially to reach 51 percent market share.
Research in Motion and Microsoft lost out during the quarter. The BlackBerry maker fell from 16 percent in December 2011 to 12.3 percent in the March quarter, while Windows Phone maker watched its market share slip from 4.7 percent to 3.9 percent during the same period.
According to the research, Apple was the third-largest handset maker in the U.S. during the March quarter. Samsung took the top spot from the survey with 26 percent, up 0.7 percent from the previous quarter. LG came in second place with 19.3 percent share. Motorola and HTC trailed Apple in fourth and fifth place, respectively.
Apple announced last month sales of 35.1 million iPhones during the March quarter.