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Finding the Third Proportional to 51,267 and 72,163

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Solution

The third proportional to 51,267 and 72,163 is: 101,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,267 : 72,163 = 72,163 : x
  2. Step 2: Convert to fraction form
    51,267/72,163 = 72,163/x
  3. Step 3: Cross multiply
    51,267x = 72,163 × 72,163
  4. Step 4: Simplify right side
    51,267x = 5,207,498,569
  5. Step 5: Solve for x
    x = 5,207,498,569/51,267
  6. Step 6: Final answer
    x = 101,576.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.