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Finding the Third Proportional to 49,194 and 75,967

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Solution

The third proportional to 49,194 and 75,967 is: 117,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,194 : 75,967 = 75,967 : x
  2. Step 2: Convert to fraction form
    49,194/75,967 = 75,967/x
  3. Step 3: Cross multiply
    49,194x = 75,967 × 75,967
  4. Step 4: Simplify right side
    49,194x = 5,770,985,089
  5. Step 5: Solve for x
    x = 5,770,985,089/49,194
  6. Step 6: Final answer
    x = 117,310.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.