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Finding the Third Proportional to 76,211.50 and 107,227.75

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Solution

The third proportional to 76,211.50 and 107,227.75 is: 150,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,211.50 : 107,227.75 = 107,227.75 : x
  2. Step 2: Convert to fraction form
    76,211.50/107,227.75 = 107,227.75/x
  3. Step 3: Cross multiply
    76,211.50x = 107,227.75 × 107,227.75
  4. Step 4: Simplify right side
    76,211.50x = 11,497,790,370.06
  5. Step 5: Solve for x
    x = 11,497,790,370.06/76,211.50
  6. Step 6: Final answer
    x = 150,866.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.