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Finding the Third Proportional to 107,162 and 150,951

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Solution

The third proportional to 107,162 and 150,951 is: 212,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,162 : 150,951 = 150,951 : x
  2. Step 2: Convert to fraction form
    107,162/150,951 = 150,951/x
  3. Step 3: Cross multiply
    107,162x = 150,951 × 150,951
  4. Step 4: Simplify right side
    107,162x = 22,786,204,401
  5. Step 5: Solve for x
    x = 22,786,204,401/107,162
  6. Step 6: Final answer
    x = 212,633.25

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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.