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Finding the Third Proportional to 57,096 and 125,640

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Solution

The third proportional to 57,096 and 125,640 is: 276,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,096 : 125,640 = 125,640 : x
  2. Step 2: Convert to fraction form
    57,096/125,640 = 125,640/x
  3. Step 3: Cross multiply
    57,096x = 125,640 × 125,640
  4. Step 4: Simplify right side
    57,096x = 15,785,409,600
  5. Step 5: Solve for x
    x = 15,785,409,600/57,096
  6. Step 6: Final answer
    x = 276,471.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.