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Finding the Third Proportional to 69,723.50 and 104,744

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Solution

The third proportional to 69,723.50 and 104,744 is: 157,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,723.50 : 104,744 = 104,744 : x
  2. Step 2: Convert to fraction form
    69,723.50/104,744 = 104,744/x
  3. Step 3: Cross multiply
    69,723.50x = 104,744 × 104,744
  4. Step 4: Simplify right side
    69,723.50x = 10,971,305,536
  5. Step 5: Solve for x
    x = 10,971,305,536/69,723.50
  6. Step 6: Final answer
    x = 157,354.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.