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Finding the Third Proportional to 57,132.56 and 132,243.75

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Solution

The third proportional to 57,132.56 and 132,243.75 is: 306,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,132.56 : 132,243.75 = 132,243.75 : x
  2. Step 2: Convert to fraction form
    57,132.56/132,243.75 = 132,243.75/x
  3. Step 3: Cross multiply
    57,132.56x = 132,243.75 × 132,243.75
  4. Step 4: Simplify right side
    57,132.56x = 17,488,409,414.06
  5. Step 5: Solve for x
    x = 17,488,409,414.06/57,132.56
  6. Step 6: Final answer
    x = 306,102.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.