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Finding the Third Proportional to 69,327.56 and 149,338.69

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Solution

The third proportional to 69,327.56 and 149,338.69 is: 321,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,327.56 : 149,338.69 = 149,338.69 : x
  2. Step 2: Convert to fraction form
    69,327.56/149,338.69 = 149,338.69/x
  3. Step 3: Cross multiply
    69,327.56x = 149,338.69 × 149,338.69
  4. Step 4: Simplify right side
    69,327.56x = 22,302,043,584.22
  5. Step 5: Solve for x
    x = 22,302,043,584.22/69,327.56
  6. Step 6: Final answer
    x = 321,690.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.