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Finding the Third Proportional to 47,982 and 102,524

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Solution

The third proportional to 47,982 and 102,524 is: 219,064.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,982 : 102,524 = 102,524 : x
  2. Step 2: Convert to fraction form
    47,982/102,524 = 102,524/x
  3. Step 3: Cross multiply
    47,982x = 102,524 × 102,524
  4. Step 4: Simplify right side
    47,982x = 10,511,170,576
  5. Step 5: Solve for x
    x = 10,511,170,576/47,982
  6. Step 6: Final answer
    x = 219,064.87

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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.