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Finding the Third Proportional to 87,676.50 and 188,874

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Solution

The third proportional to 87,676.50 and 188,874 is: 406,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,676.50 : 188,874 = 188,874 : x
  2. Step 2: Convert to fraction form
    87,676.50/188,874 = 188,874/x
  3. Step 3: Cross multiply
    87,676.50x = 188,874 × 188,874
  4. Step 4: Simplify right side
    87,676.50x = 35,673,387,876
  5. Step 5: Solve for x
    x = 35,673,387,876/87,676.50
  6. Step 6: Final answer
    x = 406,875.14

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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.