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Finding the Third Proportional to 31,394 and 67,918

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Solution

The third proportional to 31,394 and 67,918 is: 146,934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,394 : 67,918 = 67,918 : x
  2. Step 2: Convert to fraction form
    31,394/67,918 = 67,918/x
  3. Step 3: Cross multiply
    31,394x = 67,918 × 67,918
  4. Step 4: Simplify right side
    31,394x = 4,612,854,724
  5. Step 5: Solve for x
    x = 4,612,854,724/31,394
  6. Step 6: Final answer
    x = 146,934.28

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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.