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Finding the Third Proportional to 42,492 and 67,508

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Solution

The third proportional to 42,492 and 67,508 is: 107,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,492 : 67,508 = 67,508 : x
  2. Step 2: Convert to fraction form
    42,492/67,508 = 67,508/x
  3. Step 3: Cross multiply
    42,492x = 67,508 × 67,508
  4. Step 4: Simplify right side
    42,492x = 4,557,330,064
  5. Step 5: Solve for x
    x = 4,557,330,064/42,492
  6. Step 6: Final answer
    x = 107,251.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.