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Finding the Third Proportional to 25,544 and 54,180

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Solution

The third proportional to 25,544 and 54,180 is: 114,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,544 : 54,180 = 54,180 : x
  2. Step 2: Convert to fraction form
    25,544/54,180 = 54,180/x
  3. Step 3: Cross multiply
    25,544x = 54,180 × 54,180
  4. Step 4: Simplify right side
    25,544x = 2,935,472,400
  5. Step 5: Solve for x
    x = 2,935,472,400/25,544
  6. Step 6: Final answer
    x = 114,918.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.