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Finding the Third Proportional to 31,132.71 and 67,186.18

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Solution

The third proportional to 31,132.71 and 67,186.18 is: 144,991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,132.71 : 67,186.18 = 67,186.18 : x
  2. Step 2: Convert to fraction form
    31,132.71/67,186.18 = 67,186.18/x
  3. Step 3: Cross multiply
    31,132.71x = 67,186.18 × 67,186.18
  4. Step 4: Simplify right side
    31,132.71x = 4,513,982,478.56
  5. Step 5: Solve for x
    x = 4,513,982,478.56/31,132.71
  6. Step 6: Final answer
    x = 144,991.62

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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.