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Finding the Third Proportional to 82,163 and 107,895

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Solution

The third proportional to 82,163 and 107,895 is: 141,685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,163 : 107,895 = 107,895 : x
  2. Step 2: Convert to fraction form
    82,163/107,895 = 107,895/x
  3. Step 3: Cross multiply
    82,163x = 107,895 × 107,895
  4. Step 4: Simplify right side
    82,163x = 11,641,331,025
  5. Step 5: Solve for x
    x = 11,641,331,025/82,163
  6. Step 6: Final answer
    x = 141,685.81

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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.