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Finding the Third Proportional to 47,538 and 100,512

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Solution

The third proportional to 47,538 and 100,512 is: 212,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,538 : 100,512 = 100,512 : x
  2. Step 2: Convert to fraction form
    47,538/100,512 = 100,512/x
  3. Step 3: Cross multiply
    47,538x = 100,512 × 100,512
  4. Step 4: Simplify right side
    47,538x = 10,102,662,144
  5. Step 5: Solve for x
    x = 10,102,662,144/47,538
  6. Step 6: Final answer
    x = 212,517.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.