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Finding the Third Proportional to 52,212.38 and 84,069.56

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Solution

The third proportional to 52,212.38 and 84,069.56 is: 135,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,212.38 : 84,069.56 = 84,069.56 : x
  2. Step 2: Convert to fraction form
    52,212.38/84,069.56 = 84,069.56/x
  3. Step 3: Cross multiply
    52,212.38x = 84,069.56 × 84,069.56
  4. Step 4: Simplify right side
    52,212.38x = 7,067,691,338.94
  5. Step 5: Solve for x
    x = 7,067,691,338.94/52,212.38
  6. Step 6: Final answer
    x = 135,364.30

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.