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Finding the Third Proportional to 57,138.75 and 123,024.75

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Solution

The third proportional to 57,138.75 and 123,024.75 is: 264,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,138.75 : 123,024.75 = 123,024.75 : x
  2. Step 2: Convert to fraction form
    57,138.75/123,024.75 = 123,024.75/x
  3. Step 3: Cross multiply
    57,138.75x = 123,024.75 × 123,024.75
  4. Step 4: Simplify right side
    57,138.75x = 15,135,089,112.56
  5. Step 5: Solve for x
    x = 15,135,089,112.56/57,138.75
  6. Step 6: Final answer
    x = 264,883.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.