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Finding the Third Proportional to 104,562 and 166,188

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Solution

The third proportional to 104,562 and 166,188 is: 264,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,562 : 166,188 = 166,188 : x
  2. Step 2: Convert to fraction form
    104,562/166,188 = 166,188/x
  3. Step 3: Cross multiply
    104,562x = 166,188 × 166,188
  4. Step 4: Simplify right side
    104,562x = 27,618,451,344
  5. Step 5: Solve for x
    x = 27,618,451,344/104,562
  6. Step 6: Final answer
    x = 264,134.69

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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.