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Finding the Third Proportional to 91,863 and 137,794.50

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Solution

The third proportional to 91,863 and 137,794.50 is: 206,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,863 : 137,794.50 = 137,794.50 : x
  2. Step 2: Convert to fraction form
    91,863/137,794.50 = 137,794.50/x
  3. Step 3: Cross multiply
    91,863x = 137,794.50 × 137,794.50
  4. Step 4: Simplify right side
    91,863x = 18,987,324,230.25
  5. Step 5: Solve for x
    x = 18,987,324,230.25/91,863
  6. Step 6: Final answer
    x = 206,691.75

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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.