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Finding the Third Proportional to 80,244.75 and 107,353.13

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Solution

The third proportional to 80,244.75 and 107,353.13 is: 143,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,244.75 : 107,353.13 = 107,353.13 : x
  2. Step 2: Convert to fraction form
    80,244.75/107,353.13 = 107,353.13/x
  3. Step 3: Cross multiply
    80,244.75x = 107,353.13 × 107,353.13
  4. Step 4: Simplify right side
    80,244.75x = 11,524,693,447.27
  5. Step 5: Solve for x
    x = 11,524,693,447.27/80,244.75
  6. Step 6: Final answer
    x = 143,619.28

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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.