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Finding the Third Proportional to 47,997 and 104,727

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Solution

The third proportional to 47,997 and 104,727 is: 228,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,997 : 104,727 = 104,727 : x
  2. Step 2: Convert to fraction form
    47,997/104,727 = 104,727/x
  3. Step 3: Cross multiply
    47,997x = 104,727 × 104,727
  4. Step 4: Simplify right side
    47,997x = 10,967,744,529
  5. Step 5: Solve for x
    x = 10,967,744,529/47,997
  6. Step 6: Final answer
    x = 228,508.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.