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Finding the Third Proportional to 57,287.25 and 125,418.38

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Solution

The third proportional to 57,287.25 and 125,418.38 is: 274,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,287.25 : 125,418.38 = 125,418.38 : x
  2. Step 2: Convert to fraction form
    57,287.25/125,418.38 = 125,418.38/x
  3. Step 3: Cross multiply
    57,287.25x = 125,418.38 × 125,418.38
  4. Step 4: Simplify right side
    57,287.25x = 15,729,768,787.64
  5. Step 5: Solve for x
    x = 15,729,768,787.64/57,287.25
  6. Step 6: Final answer
    x = 274,577.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.