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Finding the Third Proportional to 87,921 and 182,067

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Solution

The third proportional to 87,921 and 182,067 is: 377,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,921 : 182,067 = 182,067 : x
  2. Step 2: Convert to fraction form
    87,921/182,067 = 182,067/x
  3. Step 3: Cross multiply
    87,921x = 182,067 × 182,067
  4. Step 4: Simplify right side
    87,921x = 33,148,392,489
  5. Step 5: Solve for x
    x = 33,148,392,489/87,921
  6. Step 6: Final answer
    x = 377,024.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.