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Finding the Third Proportional to 57,764 and 124,456

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Solution

The third proportional to 57,764 and 124,456 is: 268,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,764 : 124,456 = 124,456 : x
  2. Step 2: Convert to fraction form
    57,764/124,456 = 124,456/x
  3. Step 3: Cross multiply
    57,764x = 124,456 × 124,456
  4. Step 4: Simplify right side
    57,764x = 15,489,295,936
  5. Step 5: Solve for x
    x = 15,489,295,936/57,764
  6. Step 6: Final answer
    x = 268,147.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.