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Finding the Third Proportional to 25,180 and 54,301

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Solution

The third proportional to 25,180 and 54,301 is: 117,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,180 : 54,301 = 54,301 : x
  2. Step 2: Convert to fraction form
    25,180/54,301 = 54,301/x
  3. Step 3: Cross multiply
    25,180x = 54,301 × 54,301
  4. Step 4: Simplify right side
    25,180x = 2,948,598,601
  5. Step 5: Solve for x
    x = 2,948,598,601/25,180
  6. Step 6: Final answer
    x = 117,100.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.