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Finding the Third Proportional to 135,996 and 211,098

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Solution

The third proportional to 135,996 and 211,098 is: 327,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,996 : 211,098 = 211,098 : x
  2. Step 2: Convert to fraction form
    135,996/211,098 = 211,098/x
  3. Step 3: Cross multiply
    135,996x = 211,098 × 211,098
  4. Step 4: Simplify right side
    135,996x = 44,562,365,604
  5. Step 5: Solve for x
    x = 44,562,365,604/135,996
  6. Step 6: Final answer
    x = 327,674.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.