LRT2010 is the third workshop in the series on low radioactivity materials and techniques, which is the most fundamental part of rare-event physics detectors, such as for solar neutrinos, dark matter, double-beta decay, and long half-life phenomena. Topics include global surveys of low background facilities, detectors and shielding techniques, ultra-low background purification techniques, cleaning and contamination control, low background construction and fabrication, and background calculations and simulations.