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Finding the Third Proportional to 135,524 and 201,325

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Solution

The third proportional to 135,524 and 201,325 is: 299,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,524 : 201,325 = 201,325 : x
  2. Step 2: Convert to fraction form
    135,524/201,325 = 201,325/x
  3. Step 3: Cross multiply
    135,524x = 201,325 × 201,325
  4. Step 4: Simplify right side
    135,524x = 40,531,755,625
  5. Step 5: Solve for x
    x = 40,531,755,625/135,524
  6. Step 6: Final answer
    x = 299,074.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.