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Finding the Third Proportional to 57,571 and 123,891

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Solution

The third proportional to 57,571 and 123,891 is: 266,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,571 : 123,891 = 123,891 : x
  2. Step 2: Convert to fraction form
    57,571/123,891 = 123,891/x
  3. Step 3: Cross multiply
    57,571x = 123,891 × 123,891
  4. Step 4: Simplify right side
    57,571x = 15,348,979,881
  5. Step 5: Solve for x
    x = 15,348,979,881/57,571
  6. Step 6: Final answer
    x = 266,609.58

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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.