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Finding the Third Proportional to 52,846.80 and 81,793.23

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Solution

The third proportional to 52,846.80 and 81,793.23 is: 126,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,846.80 : 81,793.23 = 81,793.23 : x
  2. Step 2: Convert to fraction form
    52,846.80/81,793.23 = 81,793.23/x
  3. Step 3: Cross multiply
    52,846.80x = 81,793.23 × 81,793.23
  4. Step 4: Simplify right side
    52,846.80x = 6,690,132,550.51
  5. Step 5: Solve for x
    x = 6,690,132,550.51/52,846.80
  6. Step 6: Final answer
    x = 126,594.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.