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Finding the Third Proportional to 136,012 and 204,018

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Solution

The third proportional to 136,012 and 204,018 is: 306,027

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,012 : 204,018 = 204,018 : x
  2. Step 2: Convert to fraction form
    136,012/204,018 = 204,018/x
  3. Step 3: Cross multiply
    136,012x = 204,018 × 204,018
  4. Step 4: Simplify right side
    136,012x = 41,623,344,324
  5. Step 5: Solve for x
    x = 41,623,344,324/136,012
  6. Step 6: Final answer
    x = 306,027

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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.