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Finding the Third Proportional to 80,202.75 and 107,327.25

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Solution

The third proportional to 80,202.75 and 107,327.25 is: 143,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,202.75 : 107,327.25 = 107,327.25 : x
  2. Step 2: Convert to fraction form
    80,202.75/107,327.25 = 107,327.25/x
  3. Step 3: Cross multiply
    80,202.75x = 107,327.25 × 107,327.25
  4. Step 4: Simplify right side
    80,202.75x = 11,519,138,592.56
  5. Step 5: Solve for x
    x = 11,519,138,592.56/80,202.75
  6. Step 6: Final answer
    x = 143,625.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.