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Finding the Third Proportional to 137,794.50 and 206,691.75

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Solution

The third proportional to 137,794.50 and 206,691.75 is: 310,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,794.50 : 206,691.75 = 206,691.75 : x
  2. Step 2: Convert to fraction form
    137,794.50/206,691.75 = 206,691.75/x
  3. Step 3: Cross multiply
    137,794.50x = 206,691.75 × 206,691.75
  4. Step 4: Simplify right side
    137,794.50x = 42,721,479,518.06
  5. Step 5: Solve for x
    x = 42,721,479,518.06/137,794.50
  6. Step 6: Final answer
    x = 310,037.63

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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.