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Finding the Third Proportional to 83,116 and 171,134

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Solution

The third proportional to 83,116 and 171,134 is: 352,361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,116 : 171,134 = 171,134 : x
  2. Step 2: Convert to fraction form
    83,116/171,134 = 171,134/x
  3. Step 3: Cross multiply
    83,116x = 171,134 × 171,134
  4. Step 4: Simplify right side
    83,116x = 29,286,845,956
  5. Step 5: Solve for x
    x = 29,286,845,956/83,116
  6. Step 6: Final answer
    x = 352,361.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.