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Finding the Third Proportional to 75,908 and 166,600

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Solution

The third proportional to 75,908 and 166,600 is: 365,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,908 : 166,600 = 166,600 : x
  2. Step 2: Convert to fraction form
    75,908/166,600 = 166,600/x
  3. Step 3: Cross multiply
    75,908x = 166,600 × 166,600
  4. Step 4: Simplify right side
    75,908x = 27,755,560,000
  5. Step 5: Solve for x
    x = 27,755,560,000/75,908
  6. Step 6: Final answer
    x = 365,647.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.