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Finding the Third Proportional to 75,879.75 and 166,213.88

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Solution

The third proportional to 75,879.75 and 166,213.88 is: 364,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,879.75 : 166,213.88 = 166,213.88 : x
  2. Step 2: Convert to fraction form
    75,879.75/166,213.88 = 166,213.88/x
  3. Step 3: Cross multiply
    75,879.75x = 166,213.88 × 166,213.88
  4. Step 4: Simplify right side
    75,879.75x = 27,627,052,242.52
  5. Step 5: Solve for x
    x = 27,627,052,242.52/75,879.75
  6. Step 6: Final answer
    x = 364,089.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.