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Finding the Third Proportional to 59,018 and 88,751

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Solution

The third proportional to 59,018 and 88,751 is: 133,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,018 : 88,751 = 88,751 : x
  2. Step 2: Convert to fraction form
    59,018/88,751 = 88,751/x
  3. Step 3: Cross multiply
    59,018x = 88,751 × 88,751
  4. Step 4: Simplify right side
    59,018x = 7,876,740,001
  5. Step 5: Solve for x
    x = 7,876,740,001/59,018
  6. Step 6: Final answer
    x = 133,463.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.