WASHINGTON — The federal government ran a $116.5 billion surplus in June, the largest June surplus on record and the largest monthly surplus since April 2008 when it was $159 billion, the Treasury reported Thursday.

The surplus followed a $138.7 billion deficit in May and far exceeded the median $40 billion surplus projected for June by economists polled by Thomson Reuters. In June 2012, the government ran a $59.7 billion surplus.

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