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Finding the Third Proportional to 56,961 and 124,891

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Solution

The third proportional to 56,961 and 124,891 is: 273,832.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,961 : 124,891 = 124,891 : x
  2. Step 2: Convert to fraction form
    56,961/124,891 = 124,891/x
  3. Step 3: Cross multiply
    56,961x = 124,891 × 124,891
  4. Step 4: Simplify right side
    56,961x = 15,597,761,881
  5. Step 5: Solve for x
    x = 15,597,761,881/56,961
  6. Step 6: Final answer
    x = 273,832.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.