
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A line $l$ passes through the focus $F$ of the parabola $y^{2}=2px(p>0)$ and has an inclination angle of $120^{\circ}$. The line intersects the parabola at points $A$ and $B$ in the first and fourth quadrants, respectively. Calculate the value of $\dfrac {|AF|}{|BF|}$.

Present the answer in LaTex format: \boxed{Your answer}
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