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Finding the Third Proportional to 100,601 and 150,914

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Solution

The third proportional to 100,601 and 150,914 is: 226,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,601 : 150,914 = 150,914 : x
  2. Step 2: Convert to fraction form
    100,601/150,914 = 150,914/x
  3. Step 3: Cross multiply
    100,601x = 150,914 × 150,914
  4. Step 4: Simplify right side
    100,601x = 22,775,035,396
  5. Step 5: Solve for x
    x = 22,775,035,396/100,601
  6. Step 6: Final answer
    x = 226,389.75

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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.