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Finding the Third Proportional to 57,601.50 and 137,379.75

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Solution

The third proportional to 57,601.50 and 137,379.75 is: 327,651.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,601.50 : 137,379.75 = 137,379.75 : x
  2. Step 2: Convert to fraction form
    57,601.50/137,379.75 = 137,379.75/x
  3. Step 3: Cross multiply
    57,601.50x = 137,379.75 × 137,379.75
  4. Step 4: Simplify right side
    57,601.50x = 18,873,195,710.06
  5. Step 5: Solve for x
    x = 18,873,195,710.06/57,601.50
  6. Step 6: Final answer
    x = 327,651.12

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.