Finding the Third Proportional to 82,826 and 117,087
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Solution
The third proportional to 82,826 and 117,087 is: 165,520.07
Step by Step Solution
- Step 1: Write the proportion equation
82,826 : 117,087 = 117,087 : x - Step 2: Convert to fraction form
82,826/117,087 = 117,087/x - Step 3: Cross multiply
82,826x = 117,087 × 117,087 - Step 4: Simplify right side
82,826x = 13,709,365,569 - Step 5: Solve for x
x = 13,709,365,569/82,826 - Step 6: Final answer
x = 165,520.07
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.