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Finding the Third Proportional to 39,222 and 82,092

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Solution

The third proportional to 39,222 and 82,092 is: 171,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,222 : 82,092 = 82,092 : x
  2. Step 2: Convert to fraction form
    39,222/82,092 = 82,092/x
  3. Step 3: Cross multiply
    39,222x = 82,092 × 82,092
  4. Step 4: Simplify right side
    39,222x = 6,739,096,464
  5. Step 5: Solve for x
    x = 6,739,096,464/39,222
  6. Step 6: Final answer
    x = 171,819.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.