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Finding the Third Proportional to 31,658.11 and 68,938.55

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Solution

The third proportional to 31,658.11 and 68,938.55 is: 150,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658.11 : 68,938.55 = 68,938.55 : x
  2. Step 2: Convert to fraction form
    31,658.11/68,938.55 = 68,938.55/x
  3. Step 3: Cross multiply
    31,658.11x = 68,938.55 × 68,938.55
  4. Step 4: Simplify right side
    31,658.11x = 4,752,524,255.08
  5. Step 5: Solve for x
    x = 4,752,524,255.08/31,658.11
  6. Step 6: Final answer
    x = 150,120.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.