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Finding the Third Proportional to 87,151.50 and 184,767.75

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Solution

The third proportional to 87,151.50 and 184,767.75 is: 391,721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,151.50 : 184,767.75 = 184,767.75 : x
  2. Step 2: Convert to fraction form
    87,151.50/184,767.75 = 184,767.75/x
  3. Step 3: Cross multiply
    87,151.50x = 184,767.75 × 184,767.75
  4. Step 4: Simplify right side
    87,151.50x = 34,139,121,440.06
  5. Step 5: Solve for x
    x = 34,139,121,440.06/87,151.50
  6. Step 6: Final answer
    x = 391,721.56

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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.