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Finding the Third Proportional to 43,976.75 and 103,709.75

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Solution

The third proportional to 43,976.75 and 103,709.75 is: 244,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,976.75 : 103,709.75 = 103,709.75 : x
  2. Step 2: Convert to fraction form
    43,976.75/103,709.75 = 103,709.75/x
  3. Step 3: Cross multiply
    43,976.75x = 103,709.75 × 103,709.75
  4. Step 4: Simplify right side
    43,976.75x = 10,755,712,245.06
  5. Step 5: Solve for x
    x = 10,755,712,245.06/43,976.75
  6. Step 6: Final answer
    x = 244,577.24

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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.