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Finding the Third Proportional to 42,708 and 67,863

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Solution

The third proportional to 42,708 and 67,863 is: 107,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,708 : 67,863 = 67,863 : x
  2. Step 2: Convert to fraction form
    42,708/67,863 = 67,863/x
  3. Step 3: Cross multiply
    42,708x = 67,863 × 67,863
  4. Step 4: Simplify right side
    42,708x = 4,605,386,769
  5. Step 5: Solve for x
    x = 4,605,386,769/42,708
  6. Step 6: Final answer
    x = 107,834.29

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Why These Related Problems?

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