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Finding the Third Proportional to 67,812.19 and 137,469.66

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Solution

The third proportional to 67,812.19 and 137,469.66 is: 278,680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,812.19 : 137,469.66 = 137,469.66 : x
  2. Step 2: Convert to fraction form
    67,812.19/137,469.66 = 137,469.66/x
  3. Step 3: Cross multiply
    67,812.19x = 137,469.66 × 137,469.66
  4. Step 4: Simplify right side
    67,812.19x = 18,897,906,389.49
  5. Step 5: Solve for x
    x = 18,897,906,389.49/67,812.19
  6. Step 6: Final answer
    x = 278,680.09

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.