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Finding the Third Proportional to 51,198 and 79,245

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Solution

The third proportional to 51,198 and 79,245 is: 122,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,198 : 79,245 = 79,245 : x
  2. Step 2: Convert to fraction form
    51,198/79,245 = 79,245/x
  3. Step 3: Cross multiply
    51,198x = 79,245 × 79,245
  4. Step 4: Simplify right side
    51,198x = 6,279,770,025
  5. Step 5: Solve for x
    x = 6,279,770,025/51,198
  6. Step 6: Final answer
    x = 122,656.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.