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Finding the Third Proportional to 123,162 and 263,172

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Solution

The third proportional to 123,162 and 263,172 is: 562,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,162 : 263,172 = 263,172 : x
  2. Step 2: Convert to fraction form
    123,162/263,172 = 263,172/x
  3. Step 3: Cross multiply
    123,162x = 263,172 × 263,172
  4. Step 4: Simplify right side
    123,162x = 69,259,501,584
  5. Step 5: Solve for x
    x = 69,259,501,584/123,162
  6. Step 6: Final answer
    x = 562,344.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.