Finding the Third Proportional to 64,042 and 102,896
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Solution
The third proportional to 64,042 and 102,896 is: 165,322.55
Step by Step Solution
- Step 1: Write the proportion equation
64,042 : 102,896 = 102,896 : x - Step 2: Convert to fraction form
64,042/102,896 = 102,896/x - Step 3: Cross multiply
64,042x = 102,896 × 102,896 - Step 4: Simplify right side
64,042x = 10,587,586,816 - Step 5: Solve for x
x = 10,587,586,816/64,042 - Step 6: Final answer
x = 165,322.55
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.