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Finding the Third Proportional to 87,962 and 189,026

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Solution

The third proportional to 87,962 and 189,026 is: 406,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,962 : 189,026 = 189,026 : x
  2. Step 2: Convert to fraction form
    87,962/189,026 = 189,026/x
  3. Step 3: Cross multiply
    87,962x = 189,026 × 189,026
  4. Step 4: Simplify right side
    87,962x = 35,730,828,676
  5. Step 5: Solve for x
    x = 35,730,828,676/87,962
  6. Step 6: Final answer
    x = 406,207.55

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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.