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Finding the Third Proportional to 87,886 and 136,198

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Solution

The third proportional to 87,886 and 136,198 is: 211,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,886 : 136,198 = 136,198 : x
  2. Step 2: Convert to fraction form
    87,886/136,198 = 136,198/x
  3. Step 3: Cross multiply
    87,886x = 136,198 × 136,198
  4. Step 4: Simplify right side
    87,886x = 18,549,895,204
  5. Step 5: Solve for x
    x = 18,549,895,204/87,886
  6. Step 6: Final answer
    x = 211,067.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.