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Finding the Third Proportional to 87,180 and 184,824

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Solution

The third proportional to 87,180 and 184,824 is: 391,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,180 : 184,824 = 184,824 : x
  2. Step 2: Convert to fraction form
    87,180/184,824 = 184,824/x
  3. Step 3: Cross multiply
    87,180x = 184,824 × 184,824
  4. Step 4: Simplify right side
    87,180x = 34,159,910,976
  5. Step 5: Solve for x
    x = 34,159,910,976/87,180
  6. Step 6: Final answer
    x = 391,831.97

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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.