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Finding the Third Proportional to 48,227 and 100,093

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Solution

The third proportional to 48,227 and 100,093 is: 207,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,227 : 100,093 = 100,093 : x
  2. Step 2: Convert to fraction form
    48,227/100,093 = 100,093/x
  3. Step 3: Cross multiply
    48,227x = 100,093 × 100,093
  4. Step 4: Simplify right side
    48,227x = 10,018,608,649
  5. Step 5: Solve for x
    x = 10,018,608,649/48,227
  6. Step 6: Final answer
    x = 207,738.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.