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Finding the Third Proportional to 31,149.56 and 68,529.38

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Solution

The third proportional to 31,149.56 and 68,529.38 is: 150,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.56 : 68,529.38 = 68,529.38 : x
  2. Step 2: Convert to fraction form
    31,149.56/68,529.38 = 68,529.38/x
  3. Step 3: Cross multiply
    31,149.56x = 68,529.38 × 68,529.38
  4. Step 4: Simplify right side
    31,149.56x = 4,696,275,237.89
  5. Step 5: Solve for x
    x = 4,696,275,237.89/31,149.56
  6. Step 6: Final answer
    x = 150,765.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.