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Finding the Third Proportional to 47,124 and 72,198

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Solution

The third proportional to 47,124 and 72,198 is: 110,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,124 : 72,198 = 72,198 : x
  2. Step 2: Convert to fraction form
    47,124/72,198 = 72,198/x
  3. Step 3: Cross multiply
    47,124x = 72,198 × 72,198
  4. Step 4: Simplify right side
    47,124x = 5,212,551,204
  5. Step 5: Solve for x
    x = 5,212,551,204/47,124
  6. Step 6: Final answer
    x = 110,613.51

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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.