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Finding the Third Proportional to 47,027 and 100,525

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Solution

The third proportional to 47,027 and 100,525 is: 214,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,027 : 100,525 = 100,525 : x
  2. Step 2: Convert to fraction form
    47,027/100,525 = 100,525/x
  3. Step 3: Cross multiply
    47,027x = 100,525 × 100,525
  4. Step 4: Simplify right side
    47,027x = 10,105,275,625
  5. Step 5: Solve for x
    x = 10,105,275,625/47,027
  6. Step 6: Final answer
    x = 214,882.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.