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Finding the Third Proportional to 41,442 and 89,436

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Solution

The third proportional to 41,442 and 89,436 is: 193,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,442 : 89,436 = 89,436 : x
  2. Step 2: Convert to fraction form
    41,442/89,436 = 89,436/x
  3. Step 3: Cross multiply
    41,442x = 89,436 × 89,436
  4. Step 4: Simplify right side
    41,442x = 7,998,798,096
  5. Step 5: Solve for x
    x = 7,998,798,096/41,442
  6. Step 6: Final answer
    x = 193,011.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.