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Finding the Third Proportional to 104,493 and 166,062.75

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Solution

The third proportional to 104,493 and 166,062.75 is: 263,910.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,493 : 166,062.75 = 166,062.75 : x
  2. Step 2: Convert to fraction form
    104,493/166,062.75 = 166,062.75/x
  3. Step 3: Cross multiply
    104,493x = 166,062.75 × 166,062.75
  4. Step 4: Simplify right side
    104,493x = 27,576,836,937.56
  5. Step 5: Solve for x
    x = 27,576,836,937.56/104,493
  6. Step 6: Final answer
    x = 263,910.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.