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Finding the Third Proportional to 87,380 and 138,578

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Solution

The third proportional to 87,380 and 138,578 is: 219,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,380 : 138,578 = 138,578 : x
  2. Step 2: Convert to fraction form
    87,380/138,578 = 138,578/x
  3. Step 3: Cross multiply
    87,380x = 138,578 × 138,578
  4. Step 4: Simplify right side
    87,380x = 19,203,862,084
  5. Step 5: Solve for x
    x = 19,203,862,084/87,380
  6. Step 6: Final answer
    x = 219,774.11

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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.