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Finding the Third Proportional to 127,162 and 276,172

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Solution

The third proportional to 127,162 and 276,172 is: 599,793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,162 : 276,172 = 276,172 : x
  2. Step 2: Convert to fraction form
    127,162/276,172 = 276,172/x
  3. Step 3: Cross multiply
    127,162x = 276,172 × 276,172
  4. Step 4: Simplify right side
    127,162x = 76,270,973,584
  5. Step 5: Solve for x
    x = 76,270,973,584/127,162
  6. Step 6: Final answer
    x = 599,793.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.