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Finding the Third Proportional to 83,029 and 171,966

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Solution

The third proportional to 83,029 and 171,966 is: 356,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,029 : 171,966 = 171,966 : x
  2. Step 2: Convert to fraction form
    83,029/171,966 = 171,966/x
  3. Step 3: Cross multiply
    83,029x = 171,966 × 171,966
  4. Step 4: Simplify right side
    83,029x = 29,572,305,156
  5. Step 5: Solve for x
    x = 29,572,305,156/83,029
  6. Step 6: Final answer
    x = 356,168.39

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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.