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Finding the Third Proportional to 95,296 and 144,992

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Solution

The third proportional to 95,296 and 144,992 is: 220,604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,296 : 144,992 = 144,992 : x
  2. Step 2: Convert to fraction form
    95,296/144,992 = 144,992/x
  3. Step 3: Cross multiply
    95,296x = 144,992 × 144,992
  4. Step 4: Simplify right side
    95,296x = 21,022,680,064
  5. Step 5: Solve for x
    x = 21,022,680,064/95,296
  6. Step 6: Final answer
    x = 220,604.01

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.