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Finding the Third Proportional to 87,081.75 and 177,852.38

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Solution

The third proportional to 87,081.75 and 177,852.38 is: 363,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,081.75 : 177,852.38 = 177,852.38 : x
  2. Step 2: Convert to fraction form
    87,081.75/177,852.38 = 177,852.38/x
  3. Step 3: Cross multiply
    87,081.75x = 177,852.38 × 177,852.38
  4. Step 4: Simplify right side
    87,081.75x = 31,631,467,293.14
  5. Step 5: Solve for x
    x = 31,631,467,293.14/87,081.75
  6. Step 6: Final answer
    x = 363,238.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.