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Finding the Third Proportional to 135,736 and 204,995

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Solution

The third proportional to 135,736 and 204,995 is: 309,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,736 : 204,995 = 204,995 : x
  2. Step 2: Convert to fraction form
    135,736/204,995 = 204,995/x
  3. Step 3: Cross multiply
    135,736x = 204,995 × 204,995
  4. Step 4: Simplify right side
    135,736x = 42,022,950,025
  5. Step 5: Solve for x
    x = 42,022,950,025/135,736
  6. Step 6: Final answer
    x = 309,593.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.