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Finding the Third Proportional to 59,079 and 88,413

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Solution

The third proportional to 59,079 and 88,413 is: 132,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,079 : 88,413 = 88,413 : x
  2. Step 2: Convert to fraction form
    59,079/88,413 = 88,413/x
  3. Step 3: Cross multiply
    59,079x = 88,413 × 88,413
  4. Step 4: Simplify right side
    59,079x = 7,816,858,569
  5. Step 5: Solve for x
    x = 7,816,858,569/59,079
  6. Step 6: Final answer
    x = 132,311.96

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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.