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Finding the Third Proportional to 127,179 and 274,041

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Solution

The third proportional to 127,179 and 274,041 is: 590,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,179 : 274,041 = 274,041 : x
  2. Step 2: Convert to fraction form
    127,179/274,041 = 274,041/x
  3. Step 3: Cross multiply
    127,179x = 274,041 × 274,041
  4. Step 4: Simplify right side
    127,179x = 75,098,469,681
  5. Step 5: Solve for x
    x = 75,098,469,681/127,179
  6. Step 6: Final answer
    x = 590,494.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.