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Finding the Third Proportional to 59,097 and 129,727

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Solution

The third proportional to 59,097 and 129,727 is: 284,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,097 : 129,727 = 129,727 : x
  2. Step 2: Convert to fraction form
    59,097/129,727 = 129,727/x
  3. Step 3: Cross multiply
    59,097x = 129,727 × 129,727
  4. Step 4: Simplify right side
    59,097x = 16,829,094,529
  5. Step 5: Solve for x
    x = 16,829,094,529/59,097
  6. Step 6: Final answer
    x = 284,770.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.