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Finding the Third Proportional to 59,117 and 129,731

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Solution

The third proportional to 59,117 and 129,731 is: 284,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,117 : 129,731 = 129,731 : x
  2. Step 2: Convert to fraction form
    59,117/129,731 = 129,731/x
  3. Step 3: Cross multiply
    59,117x = 129,731 × 129,731
  4. Step 4: Simplify right side
    59,117x = 16,830,132,361
  5. Step 5: Solve for x
    x = 16,830,132,361/59,117
  6. Step 6: Final answer
    x = 284,691.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.