Finding the Third Proportional to 71,312 and 109,884
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Solution
The third proportional to 71,312 and 109,884 is: 169,319.24
Step by Step Solution
- Step 1: Write the proportion equation
71,312 : 109,884 = 109,884 : x - Step 2: Convert to fraction form
71,312/109,884 = 109,884/x - Step 3: Cross multiply
71,312x = 109,884 × 109,884 - Step 4: Simplify right side
71,312x = 12,074,493,456 - Step 5: Solve for x
x = 12,074,493,456/71,312 - Step 6: Final answer
x = 169,319.24
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.