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Finding the Third Proportional to 122,397 and 183,027

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Solution

The third proportional to 122,397 and 183,027 is: 273,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,397 : 183,027 = 183,027 : x
  2. Step 2: Convert to fraction form
    122,397/183,027 = 183,027/x
  3. Step 3: Cross multiply
    122,397x = 183,027 × 183,027
  4. Step 4: Simplify right side
    122,397x = 33,498,882,729
  5. Step 5: Solve for x
    x = 33,498,882,729/122,397
  6. Step 6: Final answer
    x = 273,690.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.