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Finding the Third Proportional to 59,598 and 87,751

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Solution

The third proportional to 59,598 and 87,751 is: 129,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,598 : 87,751 = 87,751 : x
  2. Step 2: Convert to fraction form
    59,598/87,751 = 87,751/x
  3. Step 3: Cross multiply
    59,598x = 87,751 × 87,751
  4. Step 4: Simplify right side
    59,598x = 7,700,238,001
  5. Step 5: Solve for x
    x = 7,700,238,001/59,598
  6. Step 6: Final answer
    x = 129,202.96

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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.