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Finding the Third Proportional to 87,575.44 and 182,140.22

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Solution

The third proportional to 87,575.44 and 182,140.22 is: 378,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,575.44 : 182,140.22 = 182,140.22 : x
  2. Step 2: Convert to fraction form
    87,575.44/182,140.22 = 182,140.22/x
  3. Step 3: Cross multiply
    87,575.44x = 182,140.22 × 182,140.22
  4. Step 4: Simplify right side
    87,575.44x = 33,175,059,286.30
  5. Step 5: Solve for x
    x = 33,175,059,286.30/87,575.44
  6. Step 6: Final answer
    x = 378,816.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.