Media General Inc. agreed to acquire LIN Media LLC for about $1.6 billion, winning a prized collection of local-TV stations in an industrywide race to take advantage of climbing fees from cable providers.

LIN’s shareholders will get stock or cash worth $27.82 a share, the companies said, a 29 percent premium to yesterday’s closing price. Including debt of $968 million, the purchase would be valued at $2.6 billion, or 10.5 times estimated earnings, slightly above other recent TV deals, according to Paul Sweeney, a Bloomberg Industries analyst.

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