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Finding the Third Proportional to 47,844 and 104,757

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Solution

The third proportional to 47,844 and 104,757 is: 229,371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,844 : 104,757 = 104,757 : x
  2. Step 2: Convert to fraction form
    47,844/104,757 = 104,757/x
  3. Step 3: Cross multiply
    47,844x = 104,757 × 104,757
  4. Step 4: Simplify right side
    47,844x = 10,974,029,049
  5. Step 5: Solve for x
    x = 10,974,029,049/47,844
  6. Step 6: Final answer
    x = 229,371.06

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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.