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Finding the Third Proportional to 59,807 and 129,523

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Solution

The third proportional to 59,807 and 129,523 is: 280,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,807 : 129,523 = 129,523 : x
  2. Step 2: Convert to fraction form
    59,807/129,523 = 129,523/x
  3. Step 3: Cross multiply
    59,807x = 129,523 × 129,523
  4. Step 4: Simplify right side
    59,807x = 16,776,207,529
  5. Step 5: Solve for x
    x = 16,776,207,529/59,807
  6. Step 6: Final answer
    x = 280,505.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.