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Finding the Third Proportional to 87,481.13 and 184,299.75

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Solution

The third proportional to 87,481.13 and 184,299.75 is: 388,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,481.13 : 184,299.75 = 184,299.75 : x
  2. Step 2: Convert to fraction form
    87,481.13/184,299.75 = 184,299.75/x
  3. Step 3: Cross multiply
    87,481.13x = 184,299.75 × 184,299.75
  4. Step 4: Simplify right side
    87,481.13x = 33,966,397,850.06
  5. Step 5: Solve for x
    x = 33,966,397,850.06/87,481.13
  6. Step 6: Final answer
    x = 388,271.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.