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Finding the Third Proportional to 42,442 and 89,150

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Solution

The third proportional to 42,442 and 89,150 is: 187,260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,442 : 89,150 = 89,150 : x
  2. Step 2: Convert to fraction form
    42,442/89,150 = 89,150/x
  3. Step 3: Cross multiply
    42,442x = 89,150 × 89,150
  4. Step 4: Simplify right side
    42,442x = 7,947,722,500
  5. Step 5: Solve for x
    x = 7,947,722,500/42,442
  6. Step 6: Final answer
    x = 187,260.79

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.