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Finding the Third Proportional to 43,992 and 95,925

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Solution

The third proportional to 43,992 and 95,925 is: 209,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,992 : 95,925 = 95,925 : x
  2. Step 2: Convert to fraction form
    43,992/95,925 = 95,925/x
  3. Step 3: Cross multiply
    43,992x = 95,925 × 95,925
  4. Step 4: Simplify right side
    43,992x = 9,201,605,625
  5. Step 5: Solve for x
    x = 9,201,605,625/43,992
  6. Step 6: Final answer
    x = 209,165.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.