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Finding the Third Proportional to 52,881.19 and 80,998.31

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Solution

The third proportional to 52,881.19 and 80,998.31 is: 124,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,881.19 : 80,998.31 = 80,998.31 : x
  2. Step 2: Convert to fraction form
    52,881.19/80,998.31 = 80,998.31/x
  3. Step 3: Cross multiply
    52,881.19x = 80,998.31 × 80,998.31
  4. Step 4: Simplify right side
    52,881.19x = 6,560,726,627.85
  5. Step 5: Solve for x
    x = 6,560,726,627.85/52,881.19
  6. Step 6: Final answer
    x = 124,065.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.