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Finding the Third Proportional to 40,204 and 87,325

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Solution

The third proportional to 40,204 and 87,325 is: 189,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,204 : 87,325 = 87,325 : x
  2. Step 2: Convert to fraction form
    40,204/87,325 = 87,325/x
  3. Step 3: Cross multiply
    40,204x = 87,325 × 87,325
  4. Step 4: Simplify right side
    40,204x = 7,625,655,625
  5. Step 5: Solve for x
    x = 7,625,655,625/40,204
  6. Step 6: Final answer
    x = 189,674.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.