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Finding the Third Proportional to 57,626 and 123,244

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Solution

The third proportional to 57,626 and 123,244 is: 263,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,626 : 123,244 = 123,244 : x
  2. Step 2: Convert to fraction form
    57,626/123,244 = 123,244/x
  3. Step 3: Cross multiply
    57,626x = 123,244 × 123,244
  4. Step 4: Simplify right side
    57,626x = 15,189,083,536
  5. Step 5: Solve for x
    x = 15,189,083,536/57,626
  6. Step 6: Final answer
    x = 263,580.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.