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Finding the Third Proportional to 69,264 and 150,188

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Solution

The third proportional to 69,264 and 150,188 is: 325,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,264 : 150,188 = 150,188 : x
  2. Step 2: Convert to fraction form
    69,264/150,188 = 150,188/x
  3. Step 3: Cross multiply
    69,264x = 150,188 × 150,188
  4. Step 4: Simplify right side
    69,264x = 22,556,435,344
  5. Step 5: Solve for x
    x = 22,556,435,344/69,264
  6. Step 6: Final answer
    x = 325,658.86

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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.