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Finding the Third Proportional to 135,047.25 and 213,576.75

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Solution

The third proportional to 135,047.25 and 213,576.75 is: 337,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,047.25 : 213,576.75 = 213,576.75 : x
  2. Step 2: Convert to fraction form
    135,047.25/213,576.75 = 213,576.75/x
  3. Step 3: Cross multiply
    135,047.25x = 213,576.75 × 213,576.75
  4. Step 4: Simplify right side
    135,047.25x = 45,615,028,140.56
  5. Step 5: Solve for x
    x = 45,615,028,140.56/135,047.25
  6. Step 6: Final answer
    x = 337,770.88

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.