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Finding the Third Proportional to 87,912 and 136,212

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Solution

The third proportional to 87,912 and 136,212 is: 211,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,912 : 136,212 = 136,212 : x
  2. Step 2: Convert to fraction form
    87,912/136,212 = 136,212/x
  3. Step 3: Cross multiply
    87,912x = 136,212 × 136,212
  4. Step 4: Simplify right side
    87,912x = 18,553,708,944
  5. Step 5: Solve for x
    x = 18,553,708,944/87,912
  6. Step 6: Final answer
    x = 211,048.65

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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.