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Finding the Third Proportional to 47,825 and 97,762

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Solution

The third proportional to 47,825 and 97,762 is: 199,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,825 : 97,762 = 97,762 : x
  2. Step 2: Convert to fraction form
    47,825/97,762 = 97,762/x
  3. Step 3: Cross multiply
    47,825x = 97,762 × 97,762
  4. Step 4: Simplify right side
    47,825x = 9,557,408,644
  5. Step 5: Solve for x
    x = 9,557,408,644/47,825
  6. Step 6: Final answer
    x = 199,841.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.