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Finding the Third Proportional to 52,524.38 and 80,322.75

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Solution

The third proportional to 52,524.38 and 80,322.75 is: 122,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,524.38 : 80,322.75 = 80,322.75 : x
  2. Step 2: Convert to fraction form
    52,524.38/80,322.75 = 80,322.75/x
  3. Step 3: Cross multiply
    52,524.38x = 80,322.75 × 80,322.75
  4. Step 4: Simplify right side
    52,524.38x = 6,451,744,167.56
  5. Step 5: Solve for x
    x = 6,451,744,167.56/52,524.38
  6. Step 6: Final answer
    x = 122,833.34

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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.