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Finding the Third Proportional to 87,183 and 184,830

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Solution

The third proportional to 87,183 and 184,830 is: 391,843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,183 : 184,830 = 184,830 : x
  2. Step 2: Convert to fraction form
    87,183/184,830 = 184,830/x
  3. Step 3: Cross multiply
    87,183x = 184,830 × 184,830
  4. Step 4: Simplify right side
    87,183x = 34,162,128,900
  5. Step 5: Solve for x
    x = 34,162,128,900/87,183
  6. Step 6: Final answer
    x = 391,843.92

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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.