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Finding the Third Proportional to 135,198.56 and 212,076.56

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Solution

The third proportional to 135,198.56 and 212,076.56 is: 332,669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,198.56 : 212,076.56 = 212,076.56 : x
  2. Step 2: Convert to fraction form
    135,198.56/212,076.56 = 212,076.56/x
  3. Step 3: Cross multiply
    135,198.56x = 212,076.56 × 212,076.56
  4. Step 4: Simplify right side
    135,198.56x = 44,976,468,361.82
  5. Step 5: Solve for x
    x = 44,976,468,361.82/135,198.56
  6. Step 6: Final answer
    x = 332,669.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.