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Finding the Third Proportional to 31,180 and 67,348

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Solution

The third proportional to 31,180 and 67,348 is: 145,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,180 : 67,348 = 67,348 : x
  2. Step 2: Convert to fraction form
    31,180/67,348 = 67,348/x
  3. Step 3: Cross multiply
    31,180x = 67,348 × 67,348
  4. Step 4: Simplify right side
    31,180x = 4,535,753,104
  5. Step 5: Solve for x
    x = 4,535,753,104/31,180
  6. Step 6: Final answer
    x = 145,469.95

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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.