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Finding the Third Proportional to 87,004.13 and 185,388.75

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Solution

The third proportional to 87,004.13 and 185,388.75 is: 395,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,004.13 : 185,388.75 = 185,388.75 : x
  2. Step 2: Convert to fraction form
    87,004.13/185,388.75 = 185,388.75/x
  3. Step 3: Cross multiply
    87,004.13x = 185,388.75 × 185,388.75
  4. Step 4: Simplify right side
    87,004.13x = 34,368,988,626.56
  5. Step 5: Solve for x
    x = 34,368,988,626.56/87,004.13
  6. Step 6: Final answer
    x = 395,027.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.