My Local network traffic is passed through a proxy. A squid daemon running on the proxy checks for the file content size and if it is greater than 3.0 MB, the request is dropped,

Is there any way that I can by pass the proxy and Squid?

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You mean "bypass"? What have you done to try to solve this problem yourself? - Lorissa

Does it seem appropriate to you to post questions in a forum section only for HTTP Anonymous Proxy lists? You are a complete moron?