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Finding the Third Proportional to 26,081 and 55,853

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Solution

The third proportional to 26,081 and 55,853 is: 119,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,081 : 55,853 = 55,853 : x
  2. Step 2: Convert to fraction form
    26,081/55,853 = 55,853/x
  3. Step 3: Cross multiply
    26,081x = 55,853 × 55,853
  4. Step 4: Simplify right side
    26,081x = 3,119,557,609
  5. Step 5: Solve for x
    x = 3,119,557,609/26,081
  6. Step 6: Final answer
    x = 119,610.35

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