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Finding the Third Proportional to 67,969.13 and 131,761.69

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Solution

The third proportional to 67,969.13 and 131,761.69 is: 255,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,969.13 : 131,761.69 = 131,761.69 : x
  2. Step 2: Convert to fraction form
    67,969.13/131,761.69 = 131,761.69/x
  3. Step 3: Cross multiply
    67,969.13x = 131,761.69 × 131,761.69
  4. Step 4: Simplify right side
    67,969.13x = 17,361,142,292.85
  5. Step 5: Solve for x
    x = 17,361,142,292.85/67,969.13
  6. Step 6: Final answer
    x = 255,426.89

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These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.