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Finding the Third Proportional to 76,738 and 166,600

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Solution

The third proportional to 76,738 and 166,600 is: 361,692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,738 : 166,600 = 166,600 : x
  2. Step 2: Convert to fraction form
    76,738/166,600 = 166,600/x
  3. Step 3: Cross multiply
    76,738x = 166,600 × 166,600
  4. Step 4: Simplify right side
    76,738x = 27,755,560,000
  5. Step 5: Solve for x
    x = 27,755,560,000/76,738
  6. Step 6: Final answer
    x = 361,692.51

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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.