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Finding the Third Proportional to 97,912.97 and 132,105.94

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Solution

The third proportional to 97,912.97 and 132,105.94 is: 178,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,912.97 : 132,105.94 = 132,105.94 : x
  2. Step 2: Convert to fraction form
    97,912.97/132,105.94 = 132,105.94/x
  3. Step 3: Cross multiply
    97,912.97x = 132,105.94 × 132,105.94
  4. Step 4: Simplify right side
    97,912.97x = 17,451,978,722.75
  5. Step 5: Solve for x
    x = 17,451,978,722.75/97,912.97
  6. Step 6: Final answer
    x = 178,239.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.