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Finding the Third Proportional to 59,366 and 88,905

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Solution

The third proportional to 59,366 and 88,905 is: 133,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,366 : 88,905 = 88,905 : x
  2. Step 2: Convert to fraction form
    59,366/88,905 = 88,905/x
  3. Step 3: Cross multiply
    59,366x = 88,905 × 88,905
  4. Step 4: Simplify right side
    59,366x = 7,904,099,025
  5. Step 5: Solve for x
    x = 7,904,099,025/59,366
  6. Step 6: Final answer
    x = 133,141.85

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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.