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Finding the Third Proportional to 47,846 and 104,761

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Solution

The third proportional to 47,846 and 104,761 is: 229,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,846 : 104,761 = 104,761 : x
  2. Step 2: Convert to fraction form
    47,846/104,761 = 104,761/x
  3. Step 3: Cross multiply
    47,846x = 104,761 × 104,761
  4. Step 4: Simplify right side
    47,846x = 10,974,867,121
  5. Step 5: Solve for x
    x = 10,974,867,121/47,846
  6. Step 6: Final answer
    x = 229,378.99

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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.