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Finding the Third Proportional to 44,000 and 103,766

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Solution

The third proportional to 44,000 and 103,766 is: 244,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,000 : 103,766 = 103,766 : x
  2. Step 2: Convert to fraction form
    44,000/103,766 = 103,766/x
  3. Step 3: Cross multiply
    44,000x = 103,766 × 103,766
  4. Step 4: Simplify right side
    44,000x = 10,767,382,756
  5. Step 5: Solve for x
    x = 10,767,382,756/44,000
  6. Step 6: Final answer
    x = 244,713.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.