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Finding the Third Proportional to 88,649 and 192,067

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Solution

The third proportional to 88,649 and 192,067 is: 416,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,649 : 192,067 = 192,067 : x
  2. Step 2: Convert to fraction form
    88,649/192,067 = 192,067/x
  3. Step 3: Cross multiply
    88,649x = 192,067 × 192,067
  4. Step 4: Simplify right side
    88,649x = 36,889,732,489
  5. Step 5: Solve for x
    x = 36,889,732,489/88,649
  6. Step 6: Final answer
    x = 416,132.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.