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Finding the Third Proportional to 80,620.50 and 167,781

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Solution

The third proportional to 80,620.50 and 167,781 is: 349,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,620.50 : 167,781 = 167,781 : x
  2. Step 2: Convert to fraction form
    80,620.50/167,781 = 167,781/x
  3. Step 3: Cross multiply
    80,620.50x = 167,781 × 167,781
  4. Step 4: Simplify right side
    80,620.50x = 28,150,463,961
  5. Step 5: Solve for x
    x = 28,150,463,961/80,620.50
  6. Step 6: Final answer
    x = 349,172.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.