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Finding the Third Proportional to 100,647 and 150,972.75

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Solution

The third proportional to 100,647 and 150,972.75 is: 226,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,647 : 150,972.75 = 150,972.75 : x
  2. Step 2: Convert to fraction form
    100,647/150,972.75 = 150,972.75/x
  3. Step 3: Cross multiply
    100,647x = 150,972.75 × 150,972.75
  4. Step 4: Simplify right side
    100,647x = 22,792,771,242.56
  5. Step 5: Solve for x
    x = 22,792,771,242.56/100,647
  6. Step 6: Final answer
    x = 226,462.50

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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.