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Finding the Third Proportional to 87,912 and 188,932

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Solution

The third proportional to 87,912 and 188,932 is: 406,034.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,912 : 188,932 = 188,932 : x
  2. Step 2: Convert to fraction form
    87,912/188,932 = 188,932/x
  3. Step 3: Cross multiply
    87,912x = 188,932 × 188,932
  4. Step 4: Simplify right side
    87,912x = 35,695,300,624
  5. Step 5: Solve for x
    x = 35,695,300,624/87,912
  6. Step 6: Final answer
    x = 406,034.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.