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Finding the Third Proportional to 101,067.75 and 168,432.75

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Solution

The third proportional to 101,067.75 and 168,432.75 is: 280,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,067.75 : 168,432.75 = 168,432.75 : x
  2. Step 2: Convert to fraction form
    101,067.75/168,432.75 = 168,432.75/x
  3. Step 3: Cross multiply
    101,067.75x = 168,432.75 × 168,432.75
  4. Step 4: Simplify right side
    101,067.75x = 28,369,591,272.56
  5. Step 5: Solve for x
    x = 28,369,591,272.56/101,067.75
  6. Step 6: Final answer
    x = 280,698.75

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.