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Finding the Third Proportional to 87,805 and 186,544

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Solution

The third proportional to 87,805 and 186,544 is: 396,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,805 : 186,544 = 186,544 : x
  2. Step 2: Convert to fraction form
    87,805/186,544 = 186,544/x
  3. Step 3: Cross multiply
    87,805x = 186,544 × 186,544
  4. Step 4: Simplify right side
    87,805x = 34,798,663,936
  5. Step 5: Solve for x
    x = 34,798,663,936/87,805
  6. Step 6: Final answer
    x = 396,317.57

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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.