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Finding the Third Proportional to 87,291 and 188,505

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Solution

The third proportional to 87,291 and 188,505 is: 407,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,291 : 188,505 = 188,505 : x
  2. Step 2: Convert to fraction form
    87,291/188,505 = 188,505/x
  3. Step 3: Cross multiply
    87,291x = 188,505 × 188,505
  4. Step 4: Simplify right side
    87,291x = 35,534,135,025
  5. Step 5: Solve for x
    x = 35,534,135,025/87,291
  6. Step 6: Final answer
    x = 407,076.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.