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Finding the Third Proportional to 80,002.69 and 107,350.31

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Solution

The third proportional to 80,002.69 and 107,350.31 is: 144,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,002.69 : 107,350.31 = 107,350.31 : x
  2. Step 2: Convert to fraction form
    80,002.69/107,350.31 = 107,350.31/x
  3. Step 3: Cross multiply
    80,002.69x = 107,350.31 × 107,350.31
  4. Step 4: Simplify right side
    80,002.69x = 11,524,089,593.85
  5. Step 5: Solve for x
    x = 11,524,089,593.85/80,002.69
  6. Step 6: Final answer
    x = 144,046.28

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