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Finding the Third Proportional to 87,771 and 189,339

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Solution

The third proportional to 87,771 and 189,339 is: 408,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,771 : 189,339 = 189,339 : x
  2. Step 2: Convert to fraction form
    87,771/189,339 = 189,339/x
  3. Step 3: Cross multiply
    87,771x = 189,339 × 189,339
  4. Step 4: Simplify right side
    87,771x = 35,849,256,921
  5. Step 5: Solve for x
    x = 35,849,256,921/87,771
  6. Step 6: Final answer
    x = 408,440.79

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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.