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Finding the Third Proportional to 79,844 and 122,198

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Solution

The third proportional to 79,844 and 122,198 is: 187,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,844 : 122,198 = 122,198 : x
  2. Step 2: Convert to fraction form
    79,844/122,198 = 122,198/x
  3. Step 3: Cross multiply
    79,844x = 122,198 × 122,198
  4. Step 4: Simplify right side
    79,844x = 14,932,351,204
  5. Step 5: Solve for x
    x = 14,932,351,204/79,844
  6. Step 6: Final answer
    x = 187,019.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.