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Finding the Third Proportional to 57,883 and 117,375

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Solution

The third proportional to 57,883 and 117,375 is: 238,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,883 : 117,375 = 117,375 : x
  2. Step 2: Convert to fraction form
    57,883/117,375 = 117,375/x
  3. Step 3: Cross multiply
    57,883x = 117,375 × 117,375
  4. Step 4: Simplify right side
    57,883x = 13,776,890,625
  5. Step 5: Solve for x
    x = 13,776,890,625/57,883
  6. Step 6: Final answer
    x = 238,012.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.