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Finding the Third Proportional to 69,652 and 150,968

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Solution

The third proportional to 69,652 and 150,968 is: 327,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,652 : 150,968 = 150,968 : x
  2. Step 2: Convert to fraction form
    69,652/150,968 = 150,968/x
  3. Step 3: Cross multiply
    69,652x = 150,968 × 150,968
  4. Step 4: Simplify right side
    69,652x = 22,791,337,024
  5. Step 5: Solve for x
    x = 22,791,337,024/69,652
  6. Step 6: Final answer
    x = 327,217.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.