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Finding the Third Proportional to 39,163 and 83,866

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Solution

The third proportional to 39,163 and 83,866 is: 179,595.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,163 : 83,866 = 83,866 : x
  2. Step 2: Convert to fraction form
    39,163/83,866 = 83,866/x
  3. Step 3: Cross multiply
    39,163x = 83,866 × 83,866
  4. Step 4: Simplify right side
    39,163x = 7,033,505,956
  5. Step 5: Solve for x
    x = 7,033,505,956/39,163
  6. Step 6: Final answer
    x = 179,595.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.