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Finding the Third Proportional to 100,584.75 and 150,879

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Solution

The third proportional to 100,584.75 and 150,879 is: 226,321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,584.75 : 150,879 = 150,879 : x
  2. Step 2: Convert to fraction form
    100,584.75/150,879 = 150,879/x
  3. Step 3: Cross multiply
    100,584.75x = 150,879 × 150,879
  4. Step 4: Simplify right side
    100,584.75x = 22,764,472,641
  5. Step 5: Solve for x
    x = 22,764,472,641/100,584.75
  6. Step 6: Final answer
    x = 226,321.31

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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.