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We consider the reliable multicast transport protocols used in hybrid networks that include wired and wireless networks and transparent proxy servers in it, which cache multicast packets at the base station and perform local retransmissions across the wireless link. We present two extreme reliable multicast transport protocols, sender-initiated and receiver-initiated, and two analytic performance models supported and unsupported by transparent proxy servers in each reliable multicast protocol, and analyze the throughput of each model. Numerical results show that in any case the protocol with transparent proxy servers effect overall performance more than the one without transparent proxy servers, and furthermore the receiver initiated reliable multicast supported by transparent proxy servers gives better performance of total throughput than the one sender initiated reliable multicast. We provide efficiency criterion of the number of transparent proxy servers for each protocols for varying wireless loss probabilities.