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Finding the Third Proportional to 71,326 and 150,608.75

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Solution

The third proportional to 71,326 and 150,608.75 is: 318,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,326 : 150,608.75 = 150,608.75 : x
  2. Step 2: Convert to fraction form
    71,326/150,608.75 = 150,608.75/x
  3. Step 3: Cross multiply
    71,326x = 150,608.75 × 150,608.75
  4. Step 4: Simplify right side
    71,326x = 22,682,995,576.56
  5. Step 5: Solve for x
    x = 22,682,995,576.56/71,326
  6. Step 6: Final answer
    x = 318,018.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.