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Finding the Third Proportional to 114,530 and 171,266

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Solution

The third proportional to 114,530 and 171,266 is: 256,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,530 : 171,266 = 171,266 : x
  2. Step 2: Convert to fraction form
    114,530/171,266 = 171,266/x
  3. Step 3: Cross multiply
    114,530x = 171,266 × 171,266
  4. Step 4: Simplify right side
    114,530x = 29,332,042,756
  5. Step 5: Solve for x
    x = 29,332,042,756/114,530
  6. Step 6: Final answer
    x = 256,107.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.