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Finding the Third Proportional to 87,189 and 184,863

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Solution

The third proportional to 87,189 and 184,863 is: 391,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,189 : 184,863 = 184,863 : x
  2. Step 2: Convert to fraction form
    87,189/184,863 = 184,863/x
  3. Step 3: Cross multiply
    87,189x = 184,863 × 184,863
  4. Step 4: Simplify right side
    87,189x = 34,174,328,769
  5. Step 5: Solve for x
    x = 34,174,328,769/87,189
  6. Step 6: Final answer
    x = 391,956.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.