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Finding the Third Proportional to 91,378.13 and 137,067.19

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Solution

The third proportional to 91,378.13 and 137,067.19 is: 205,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,378.13 : 137,067.19 = 137,067.19 : x
  2. Step 2: Convert to fraction form
    91,378.13/137,067.19 = 137,067.19/x
  3. Step 3: Cross multiply
    91,378.13x = 137,067.19 × 137,067.19
  4. Step 4: Simplify right side
    91,378.13x = 18,787,413,889.16
  5. Step 5: Solve for x
    x = 18,787,413,889.16/91,378.13
  6. Step 6: Final answer
    x = 205,600.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.