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Finding the Third Proportional to 25,059 and 54,150

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Solution

The third proportional to 25,059 and 54,150 is: 117,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,059 : 54,150 = 54,150 : x
  2. Step 2: Convert to fraction form
    25,059/54,150 = 54,150/x
  3. Step 3: Cross multiply
    25,059x = 54,150 × 54,150
  4. Step 4: Simplify right side
    25,059x = 2,932,222,500
  5. Step 5: Solve for x
    x = 2,932,222,500/25,059
  6. Step 6: Final answer
    x = 117,012.75

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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.