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Finding the Third Proportional to 83,027 and 171,962

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Solution

The third proportional to 83,027 and 171,962 is: 356,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,027 : 171,962 = 171,962 : x
  2. Step 2: Convert to fraction form
    83,027/171,962 = 171,962/x
  3. Step 3: Cross multiply
    83,027x = 171,962 × 171,962
  4. Step 4: Simplify right side
    83,027x = 29,570,929,444
  5. Step 5: Solve for x
    x = 29,570,929,444/83,027
  6. Step 6: Final answer
    x = 356,160.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.