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Finding the Third Proportional to 87,814 and 189,452

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Solution

The third proportional to 87,814 and 189,452 is: 408,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,814 : 189,452 = 189,452 : x
  2. Step 2: Convert to fraction form
    87,814/189,452 = 189,452/x
  3. Step 3: Cross multiply
    87,814x = 189,452 × 189,452
  4. Step 4: Simplify right side
    87,814x = 35,892,060,304
  5. Step 5: Solve for x
    x = 35,892,060,304/87,814
  6. Step 6: Final answer
    x = 408,728.22

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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.