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Finding the Third Proportional to 59,508 and 87,630

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Solution

The third proportional to 59,508 and 87,630 is: 129,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,508 : 87,630 = 87,630 : x
  2. Step 2: Convert to fraction form
    59,508/87,630 = 87,630/x
  3. Step 3: Cross multiply
    59,508x = 87,630 × 87,630
  4. Step 4: Simplify right side
    59,508x = 7,679,016,900
  5. Step 5: Solve for x
    x = 7,679,016,900/59,508
  6. Step 6: Final answer
    x = 129,041.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.