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Finding the Third Proportional to 122,198 and 182,145

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Solution

The third proportional to 122,198 and 182,145 is: 271,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,198 : 182,145 = 182,145 : x
  2. Step 2: Convert to fraction form
    122,198/182,145 = 182,145/x
  3. Step 3: Cross multiply
    122,198x = 182,145 × 182,145
  4. Step 4: Simplify right side
    122,198x = 33,176,801,025
  5. Step 5: Solve for x
    x = 33,176,801,025/122,198
  6. Step 6: Final answer
    x = 271,500.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.