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Finding the Third Proportional to 69,399 and 149,325

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Solution

The third proportional to 69,399 and 149,325 is: 321,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,399 : 149,325 = 149,325 : x
  2. Step 2: Convert to fraction form
    69,399/149,325 = 149,325/x
  3. Step 3: Cross multiply
    69,399x = 149,325 × 149,325
  4. Step 4: Simplify right side
    69,399x = 22,297,955,625
  5. Step 5: Solve for x
    x = 22,297,955,625/69,399
  6. Step 6: Final answer
    x = 321,300.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.