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Finding the Third Proportional to 79,194 and 123,975

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Solution

The third proportional to 79,194 and 123,975 is: 194,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,194 : 123,975 = 123,975 : x
  2. Step 2: Convert to fraction form
    79,194/123,975 = 123,975/x
  3. Step 3: Cross multiply
    79,194x = 123,975 × 123,975
  4. Step 4: Simplify right side
    79,194x = 15,369,800,625
  5. Step 5: Solve for x
    x = 15,369,800,625/79,194
  6. Step 6: Final answer
    x = 194,077.84

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.