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Finding the Third Proportional to 87,667 and 191,738

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Solution

The third proportional to 87,667 and 191,738 is: 419,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,667 : 191,738 = 191,738 : x
  2. Step 2: Convert to fraction form
    87,667/191,738 = 191,738/x
  3. Step 3: Cross multiply
    87,667x = 191,738 × 191,738
  4. Step 4: Simplify right side
    87,667x = 36,763,460,644
  5. Step 5: Solve for x
    x = 36,763,460,644/87,667
  6. Step 6: Final answer
    x = 419,353.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.