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Finding the Third Proportional to 77,936 and 167,794

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Solution

The third proportional to 77,936 and 167,794 is: 361,255.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,936 : 167,794 = 167,794 : x
  2. Step 2: Convert to fraction form
    77,936/167,794 = 167,794/x
  3. Step 3: Cross multiply
    77,936x = 167,794 × 167,794
  4. Step 4: Simplify right side
    77,936x = 28,154,826,436
  5. Step 5: Solve for x
    x = 28,154,826,436/77,936
  6. Step 6: Final answer
    x = 361,255.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.