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Finding the Third Proportional to 31,940 and 67,188

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Solution

The third proportional to 31,940 and 67,188 is: 141,334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,940 : 67,188 = 67,188 : x
  2. Step 2: Convert to fraction form
    31,940/67,188 = 67,188/x
  3. Step 3: Cross multiply
    31,940x = 67,188 × 67,188
  4. Step 4: Simplify right side
    31,940x = 4,514,227,344
  5. Step 5: Solve for x
    x = 4,514,227,344/31,940
  6. Step 6: Final answer
    x = 141,334.61

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.