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Finding the Third Proportional to 60,194 and 126,976

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Solution

The third proportional to 60,194 and 126,976 is: 267,849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,194 : 126,976 = 126,976 : x
  2. Step 2: Convert to fraction form
    60,194/126,976 = 126,976/x
  3. Step 3: Cross multiply
    60,194x = 126,976 × 126,976
  4. Step 4: Simplify right side
    60,194x = 16,122,904,576
  5. Step 5: Solve for x
    x = 16,122,904,576/60,194
  6. Step 6: Final answer
    x = 267,849.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.