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Finding the Third Proportional to 36,212 and 76,771

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Solution

The third proportional to 36,212 and 76,771 is: 162,757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,212 : 76,771 = 76,771 : x
  2. Step 2: Convert to fraction form
    36,212/76,771 = 76,771/x
  3. Step 3: Cross multiply
    36,212x = 76,771 × 76,771
  4. Step 4: Simplify right side
    36,212x = 5,893,786,441
  5. Step 5: Solve for x
    x = 5,893,786,441/36,212
  6. Step 6: Final answer
    x = 162,757.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.