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Finding the Third Proportional to 47,682 and 104,916

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Solution

The third proportional to 47,682 and 104,916 is: 230,849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,682 : 104,916 = 104,916 : x
  2. Step 2: Convert to fraction form
    47,682/104,916 = 104,916/x
  3. Step 3: Cross multiply
    47,682x = 104,916 × 104,916
  4. Step 4: Simplify right side
    47,682x = 11,007,367,056
  5. Step 5: Solve for x
    x = 11,007,367,056/47,682
  6. Step 6: Final answer
    x = 230,849.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.