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Finding the Third Proportional to 100,605 and 150,919

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Solution

The third proportional to 100,605 and 150,919 is: 226,395.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,605 : 150,919 = 150,919 : x
  2. Step 2: Convert to fraction form
    100,605/150,919 = 150,919/x
  3. Step 3: Cross multiply
    100,605x = 150,919 × 150,919
  4. Step 4: Simplify right side
    100,605x = 22,776,544,561
  5. Step 5: Solve for x
    x = 22,776,544,561/100,605
  6. Step 6: Final answer
    x = 226,395.75

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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.