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Finding the Third Proportional to 88,018 and 132,449

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Solution

The third proportional to 88,018 and 132,449 is: 199,308.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,018 : 132,449 = 132,449 : x
  2. Step 2: Convert to fraction form
    88,018/132,449 = 132,449/x
  3. Step 3: Cross multiply
    88,018x = 132,449 × 132,449
  4. Step 4: Simplify right side
    88,018x = 17,542,737,601
  5. Step 5: Solve for x
    x = 17,542,737,601/88,018
  6. Step 6: Final answer
    x = 199,308.52

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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.