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Finding the Third Proportional to 87,675 and 186,285

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Solution

The third proportional to 87,675 and 186,285 is: 395,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,675 : 186,285 = 186,285 : x
  2. Step 2: Convert to fraction form
    87,675/186,285 = 186,285/x
  3. Step 3: Cross multiply
    87,675x = 186,285 × 186,285
  4. Step 4: Simplify right side
    87,675x = 34,702,101,225
  5. Step 5: Solve for x
    x = 34,702,101,225/87,675
  6. Step 6: Final answer
    x = 395,803.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.