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Finding the Third Proportional to 87,544 and 186,752

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Solution

The third proportional to 87,544 and 186,752 is: 398,386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,544 : 186,752 = 186,752 : x
  2. Step 2: Convert to fraction form
    87,544/186,752 = 186,752/x
  3. Step 3: Cross multiply
    87,544x = 186,752 × 186,752
  4. Step 4: Simplify right side
    87,544x = 34,876,309,504
  5. Step 5: Solve for x
    x = 34,876,309,504/87,544
  6. Step 6: Final answer
    x = 398,386.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.