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Finding the Third Proportional to 42,531 and 67,281

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Solution

The third proportional to 42,531 and 67,281 is: 106,433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,531 : 67,281 = 67,281 : x
  2. Step 2: Convert to fraction form
    42,531/67,281 = 67,281/x
  3. Step 3: Cross multiply
    42,531x = 67,281 × 67,281
  4. Step 4: Simplify right side
    42,531x = 4,526,732,961
  5. Step 5: Solve for x
    x = 4,526,732,961/42,531
  6. Step 6: Final answer
    x = 106,433.73

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.