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Finding the Third Proportional to 26,111 and 55,198

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Solution

The third proportional to 26,111 and 55,198 is: 116,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,111 : 55,198 = 55,198 : x
  2. Step 2: Convert to fraction form
    26,111/55,198 = 55,198/x
  3. Step 3: Cross multiply
    26,111x = 55,198 × 55,198
  4. Step 4: Simplify right side
    26,111x = 3,046,819,204
  5. Step 5: Solve for x
    x = 3,046,819,204/26,111
  6. Step 6: Final answer
    x = 116,687.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.