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Finding the Third Proportional to 127,182 and 251,163

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Solution

The third proportional to 127,182 and 251,163 is: 496,004.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,182 : 251,163 = 251,163 : x
  2. Step 2: Convert to fraction form
    127,182/251,163 = 251,163/x
  3. Step 3: Cross multiply
    127,182x = 251,163 × 251,163
  4. Step 4: Simplify right side
    127,182x = 63,082,852,569
  5. Step 5: Solve for x
    x = 63,082,852,569/127,182
  6. Step 6: Final answer
    x = 496,004.56

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.