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Finding the Third Proportional to 25,918 and 54,182

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Solution

The third proportional to 25,918 and 54,182 is: 113,268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,918 : 54,182 = 54,182 : x
  2. Step 2: Convert to fraction form
    25,918/54,182 = 54,182/x
  3. Step 3: Cross multiply
    25,918x = 54,182 × 54,182
  4. Step 4: Simplify right side
    25,918x = 2,935,689,124
  5. Step 5: Solve for x
    x = 2,935,689,124/25,918
  6. Step 6: Final answer
    x = 113,268.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.