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Finding the Third Proportional to 87,008 and 138,286

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Solution

The third proportional to 87,008 and 138,286 is: 219,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,008 : 138,286 = 138,286 : x
  2. Step 2: Convert to fraction form
    87,008/138,286 = 138,286/x
  3. Step 3: Cross multiply
    87,008x = 138,286 × 138,286
  4. Step 4: Simplify right side
    87,008x = 19,123,017,796
  5. Step 5: Solve for x
    x = 19,123,017,796/87,008
  6. Step 6: Final answer
    x = 219,784.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.