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Finding the Third Proportional to 82,016 and 107,694

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Solution

The third proportional to 82,016 and 107,694 is: 141,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,016 : 107,694 = 107,694 : x
  2. Step 2: Convert to fraction form
    82,016/107,694 = 107,694/x
  3. Step 3: Cross multiply
    82,016x = 107,694 × 107,694
  4. Step 4: Simplify right side
    82,016x = 11,597,997,636
  5. Step 5: Solve for x
    x = 11,597,997,636/82,016
  6. Step 6: Final answer
    x = 141,411.40

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.