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Finding the Third Proportional to 76,706 and 171,268

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Solution

The third proportional to 76,706 and 171,268 is: 382,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,706 : 171,268 = 171,268 : x
  2. Step 2: Convert to fraction form
    76,706/171,268 = 171,268/x
  3. Step 3: Cross multiply
    76,706x = 171,268 × 171,268
  4. Step 4: Simplify right side
    76,706x = 29,332,727,824
  5. Step 5: Solve for x
    x = 29,332,727,824/76,706
  6. Step 6: Final answer
    x = 382,404.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.