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Finding the Third Proportional to 47,991 and 104,718

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Solution

The third proportional to 47,991 and 104,718 is: 228,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,991 : 104,718 = 104,718 : x
  2. Step 2: Convert to fraction form
    47,991/104,718 = 104,718/x
  3. Step 3: Cross multiply
    47,991x = 104,718 × 104,718
  4. Step 4: Simplify right side
    47,991x = 10,965,859,524
  5. Step 5: Solve for x
    x = 10,965,859,524/47,991
  6. Step 6: Final answer
    x = 228,498.25

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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.