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Finding the Third Proportional to 59,109 and 88,725

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Solution

The third proportional to 59,109 and 88,725 is: 133,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,109 : 88,725 = 88,725 : x
  2. Step 2: Convert to fraction form
    59,109/88,725 = 88,725/x
  3. Step 3: Cross multiply
    59,109x = 88,725 × 88,725
  4. Step 4: Simplify right side
    59,109x = 7,872,125,625
  5. Step 5: Solve for x
    x = 7,872,125,625/59,109
  6. Step 6: Final answer
    x = 133,179.81

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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.