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Finding the Third Proportional to 31,150 and 67,217

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Solution

The third proportional to 31,150 and 67,217 is: 145,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,150 : 67,217 = 67,217 : x
  2. Step 2: Convert to fraction form
    31,150/67,217 = 67,217/x
  3. Step 3: Cross multiply
    31,150x = 67,217 × 67,217
  4. Step 4: Simplify right side
    31,150x = 4,518,125,089
  5. Step 5: Solve for x
    x = 4,518,125,089/31,150
  6. Step 6: Final answer
    x = 145,044.14

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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.