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Finding the Third Proportional to 100,606 and 150,920

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Solution

The third proportional to 100,606 and 150,920 is: 226,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,606 : 150,920 = 150,920 : x
  2. Step 2: Convert to fraction form
    100,606/150,920 = 150,920/x
  3. Step 3: Cross multiply
    100,606x = 150,920 × 150,920
  4. Step 4: Simplify right side
    100,606x = 22,776,846,400
  5. Step 5: Solve for x
    x = 22,776,846,400/100,606
  6. Step 6: Final answer
    x = 226,396.50

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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.