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Finding the Third Proportional to 112,944.75 and 150,572.25

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Solution

The third proportional to 112,944.75 and 150,572.25 is: 200,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,944.75 : 150,572.25 = 150,572.25 : x
  2. Step 2: Convert to fraction form
    112,944.75/150,572.25 = 150,572.25/x
  3. Step 3: Cross multiply
    112,944.75x = 150,572.25 × 150,572.25
  4. Step 4: Simplify right side
    112,944.75x = 22,672,002,470.06
  5. Step 5: Solve for x
    x = 22,672,002,470.06/112,944.75
  6. Step 6: Final answer
    x = 200,735.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.