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Finding the Third Proportional to 59,250 and 129,981

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Solution

The third proportional to 59,250 and 129,981 is: 285,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,250 : 129,981 = 129,981 : x
  2. Step 2: Convert to fraction form
    59,250/129,981 = 129,981/x
  3. Step 3: Cross multiply
    59,250x = 129,981 × 129,981
  4. Step 4: Simplify right side
    59,250x = 16,895,060,361
  5. Step 5: Solve for x
    x = 16,895,060,361/59,250
  6. Step 6: Final answer
    x = 285,148.70

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