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Finding the Third Proportional to 135,974 and 195,843

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Solution

The third proportional to 135,974 and 195,843 is: 282,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,974 : 195,843 = 195,843 : x
  2. Step 2: Convert to fraction form
    135,974/195,843 = 195,843/x
  3. Step 3: Cross multiply
    135,974x = 195,843 × 195,843
  4. Step 4: Simplify right side
    135,974x = 38,354,480,649
  5. Step 5: Solve for x
    x = 38,354,480,649/135,974
  6. Step 6: Final answer
    x = 282,072.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.