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Finding the Third Proportional to 87,902 and 189,493

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Solution

The third proportional to 87,902 and 189,493 is: 408,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,902 : 189,493 = 189,493 : x
  2. Step 2: Convert to fraction form
    87,902/189,493 = 189,493/x
  3. Step 3: Cross multiply
    87,902x = 189,493 × 189,493
  4. Step 4: Simplify right side
    87,902x = 35,907,597,049
  5. Step 5: Solve for x
    x = 35,907,597,049/87,902
  6. Step 6: Final answer
    x = 408,495.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.