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Finding the Third Proportional to 75,177 and 165,234

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Solution

The third proportional to 75,177 and 165,234 is: 363,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,177 : 165,234 = 165,234 : x
  2. Step 2: Convert to fraction form
    75,177/165,234 = 165,234/x
  3. Step 3: Cross multiply
    75,177x = 165,234 × 165,234
  4. Step 4: Simplify right side
    75,177x = 27,302,274,756
  5. Step 5: Solve for x
    x = 27,302,274,756/75,177
  6. Step 6: Final answer
    x = 363,173.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.