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Finding the Third Proportional to 126,942.75 and 276,027.75

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Solution

The third proportional to 126,942.75 and 276,027.75 is: 600,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,942.75 : 276,027.75 = 276,027.75 : x
  2. Step 2: Convert to fraction form
    126,942.75/276,027.75 = 276,027.75/x
  3. Step 3: Cross multiply
    126,942.75x = 276,027.75 × 276,027.75
  4. Step 4: Simplify right side
    126,942.75x = 76,191,318,770.06
  5. Step 5: Solve for x
    x = 76,191,318,770.06/126,942.75
  6. Step 6: Final answer
    x = 600,202.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.