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Finding the Third Proportional to 47,504 and 100,372

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Solution

The third proportional to 47,504 and 100,372 is: 212,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,504 : 100,372 = 100,372 : x
  2. Step 2: Convert to fraction form
    47,504/100,372 = 100,372/x
  3. Step 3: Cross multiply
    47,504x = 100,372 × 100,372
  4. Step 4: Simplify right side
    47,504x = 10,074,538,384
  5. Step 5: Solve for x
    x = 10,074,538,384/47,504
  6. Step 6: Final answer
    x = 212,077.69

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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.