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Finding the Third Proportional to 43,976 and 103,703.75

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Solution

The third proportional to 43,976 and 103,703.75 is: 244,553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,976 : 103,703.75 = 103,703.75 : x
  2. Step 2: Convert to fraction form
    43,976/103,703.75 = 103,703.75/x
  3. Step 3: Cross multiply
    43,976x = 103,703.75 × 103,703.75
  4. Step 4: Simplify right side
    43,976x = 10,754,467,764.06
  5. Step 5: Solve for x
    x = 10,754,467,764.06/43,976
  6. Step 6: Final answer
    x = 244,553.11

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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.