Finding the Third Proportional to 71,312 and 113,016
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Solution
The third proportional to 71,312 and 113,016 is: 179,108.93
Step by Step Solution
- Step 1: Write the proportion equation
71,312 : 113,016 = 113,016 : x - Step 2: Convert to fraction form
71,312/113,016 = 113,016/x - Step 3: Cross multiply
71,312x = 113,016 × 113,016 - Step 4: Simplify right side
71,312x = 12,772,616,256 - Step 5: Solve for x
x = 12,772,616,256/71,312 - Step 6: Final answer
x = 179,108.93
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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.