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Finding the Third Proportional to 31,108 and 67,400

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Solution

The third proportional to 31,108 and 67,400 is: 146,031.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108 : 67,400 = 67,400 : x
  2. Step 2: Convert to fraction form
    31,108/67,400 = 67,400/x
  3. Step 3: Cross multiply
    31,108x = 67,400 × 67,400
  4. Step 4: Simplify right side
    31,108x = 4,542,760,000
  5. Step 5: Solve for x
    x = 4,542,760,000/31,108
  6. Step 6: Final answer
    x = 146,031.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.