Finding the Third Proportional to 31,744 and 68,356
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Solution
The third proportional to 31,744 and 68,356 is: 147,194.52
Step by Step Solution
- Step 1: Write the proportion equation
31,744 : 68,356 = 68,356 : x - Step 2: Convert to fraction form
31,744/68,356 = 68,356/x - Step 3: Cross multiply
31,744x = 68,356 × 68,356 - Step 4: Simplify right side
31,744x = 4,672,542,736 - Step 5: Solve for x
x = 4,672,542,736/31,744 - Step 6: Final answer
x = 147,194.52
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.