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Finding the Third Proportional to 137,619.38 and 193,793.06

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Solution

The third proportional to 137,619.38 and 193,793.06 is: 272,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,619.38 : 193,793.06 = 193,793.06 : x
  2. Step 2: Convert to fraction form
    137,619.38/193,793.06 = 193,793.06/x
  3. Step 3: Cross multiply
    137,619.38x = 193,793.06 × 193,793.06
  4. Step 4: Simplify right side
    137,619.38x = 37,555,751,073.13
  5. Step 5: Solve for x
    x = 37,555,751,073.13/137,619.38
  6. Step 6: Final answer
    x = 272,895.81

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.