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Finding the Third Proportional to 100,671.75 and 150,999.75

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Solution

The third proportional to 100,671.75 and 150,999.75 is: 226,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,671.75 : 150,999.75 = 150,999.75 : x
  2. Step 2: Convert to fraction form
    100,671.75/150,999.75 = 150,999.75/x
  3. Step 3: Cross multiply
    100,671.75x = 150,999.75 × 150,999.75
  4. Step 4: Simplify right side
    100,671.75x = 22,800,924,500.06
  5. Step 5: Solve for x
    x = 22,800,924,500.06/100,671.75
  6. Step 6: Final answer
    x = 226,487.81

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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.