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Finding the Third Proportional to 57,961.13 and 123,576.75

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Solution

The third proportional to 57,961.13 and 123,576.75 is: 263,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,961.13 : 123,576.75 = 123,576.75 : x
  2. Step 2: Convert to fraction form
    57,961.13/123,576.75 = 123,576.75/x
  3. Step 3: Cross multiply
    57,961.13x = 123,576.75 × 123,576.75
  4. Step 4: Simplify right side
    57,961.13x = 15,271,213,140.56
  5. Step 5: Solve for x
    x = 15,271,213,140.56/57,961.13
  6. Step 6: Final answer
    x = 263,473.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.