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Finding the Third Proportional to 69,867 and 150,851

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Solution

The third proportional to 69,867 and 150,851 is: 325,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,867 : 150,851 = 150,851 : x
  2. Step 2: Convert to fraction form
    69,867/150,851 = 150,851/x
  3. Step 3: Cross multiply
    69,867x = 150,851 × 150,851
  4. Step 4: Simplify right side
    69,867x = 22,756,024,201
  5. Step 5: Solve for x
    x = 22,756,024,201/69,867
  6. Step 6: Final answer
    x = 325,704.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.