Finding the Third Proportional to 71,264 and 112,838
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Solution
The third proportional to 71,264 and 112,838 is: 178,665.44
Step by Step Solution
- Step 1: Write the proportion equation
71,264 : 112,838 = 112,838 : x - Step 2: Convert to fraction form
71,264/112,838 = 112,838/x - Step 3: Cross multiply
71,264x = 112,838 × 112,838 - Step 4: Simplify right side
71,264x = 12,732,414,244 - Step 5: Solve for x
x = 12,732,414,244/71,264 - Step 6: Final answer
x = 178,665.44
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.