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Finding the Third Proportional to 71,777 and 157,180

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Solution

The third proportional to 71,777 and 157,180 is: 344,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,777 : 157,180 = 157,180 : x
  2. Step 2: Convert to fraction form
    71,777/157,180 = 157,180/x
  3. Step 3: Cross multiply
    71,777x = 157,180 × 157,180
  4. Step 4: Simplify right side
    71,777x = 24,705,552,400
  5. Step 5: Solve for x
    x = 24,705,552,400/71,777
  6. Step 6: Final answer
    x = 344,198.73

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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.