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Finding the Third Proportional to 31,348 and 67,244

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Solution

The third proportional to 31,348 and 67,244 is: 144,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,348 : 67,244 = 67,244 : x
  2. Step 2: Convert to fraction form
    31,348/67,244 = 67,244/x
  3. Step 3: Cross multiply
    31,348x = 67,244 × 67,244
  4. Step 4: Simplify right side
    31,348x = 4,521,755,536
  5. Step 5: Solve for x
    x = 4,521,755,536/31,348
  6. Step 6: Final answer
    x = 144,243.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.