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Finding the Third Proportional to 51,832 and 79,249

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Solution

The third proportional to 51,832 and 79,249 is: 121,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,832 : 79,249 = 79,249 : x
  2. Step 2: Convert to fraction form
    51,832/79,249 = 79,249/x
  3. Step 3: Cross multiply
    51,832x = 79,249 × 79,249
  4. Step 4: Simplify right side
    51,832x = 6,280,404,001
  5. Step 5: Solve for x
    x = 6,280,404,001/51,832
  6. Step 6: Final answer
    x = 121,168.47

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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.