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Finding the Third Proportional to 87,885 and 136,197

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Solution

The third proportional to 87,885 and 136,197 is: 211,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,885 : 136,197 = 136,197 : x
  2. Step 2: Convert to fraction form
    87,885/136,197 = 136,197/x
  3. Step 3: Cross multiply
    87,885x = 136,197 × 136,197
  4. Step 4: Simplify right side
    87,885x = 18,549,622,809
  5. Step 5: Solve for x
    x = 18,549,622,809/87,885
  6. Step 6: Final answer
    x = 211,066.99

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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.