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Finding the Third Proportional to 60,481 and 96,067

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Solution

The third proportional to 60,481 and 96,067 is: 152,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,481 : 96,067 = 96,067 : x
  2. Step 2: Convert to fraction form
    60,481/96,067 = 96,067/x
  3. Step 3: Cross multiply
    60,481x = 96,067 × 96,067
  4. Step 4: Simplify right side
    60,481x = 9,228,868,489
  5. Step 5: Solve for x
    x = 9,228,868,489/60,481
  6. Step 6: Final answer
    x = 152,591.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.