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Finding the Third Proportional to 57,096 and 122,940.75

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Solution

The third proportional to 57,096 and 122,940.75 is: 264,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,096 : 122,940.75 = 122,940.75 : x
  2. Step 2: Convert to fraction form
    57,096/122,940.75 = 122,940.75/x
  3. Step 3: Cross multiply
    57,096x = 122,940.75 × 122,940.75
  4. Step 4: Simplify right side
    57,096x = 15,114,428,010.56
  5. Step 5: Solve for x
    x = 15,114,428,010.56/57,096
  6. Step 6: Final answer
    x = 264,719.56

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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.