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Finding the Third Proportional to 47,743 and 104,558

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Solution

The third proportional to 47,743 and 104,558 is: 228,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,743 : 104,558 = 104,558 : x
  2. Step 2: Convert to fraction form
    47,743/104,558 = 104,558/x
  3. Step 3: Cross multiply
    47,743x = 104,558 × 104,558
  4. Step 4: Simplify right side
    47,743x = 10,932,375,364
  5. Step 5: Solve for x
    x = 10,932,375,364/47,743
  6. Step 6: Final answer
    x = 228,983.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.