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Finding the Third Proportional to 136,524.50 and 206,694.75

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Solution

The third proportional to 136,524.50 and 206,694.75 is: 312,930.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,524.50 : 206,694.75 = 206,694.75 : x
  2. Step 2: Convert to fraction form
    136,524.50/206,694.75 = 206,694.75/x
  3. Step 3: Cross multiply
    136,524.50x = 206,694.75 × 206,694.75
  4. Step 4: Simplify right side
    136,524.50x = 42,722,719,677.56
  5. Step 5: Solve for x
    x = 42,722,719,677.56/136,524.50
  6. Step 6: Final answer
    x = 312,930.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.