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Mexican state power company CFE estimated Wednesday morning that Hurricane Jimena in Baja California Sur state had affected power service to roughly 50,000 consumers, the company said in a statement.
The hurricane hit 29 transmission lines in Cabo San Lucas, San José del Cabo, La Paz and Ciudad Constitución.
Ciudad Constitución faced the most severe impact, with 17 lines affected and power cut to 27,000 users.
As of Wednesday morning, CFE had reestablished power service to 45% of those who lost power.
At the time, the hurricane was located on the western coast of Baja California Sur and had maximum sustained winds of 100mph (161km/h). It was moving north-northwest at 13mph, according to the US national hurricane center.