Finding the Third Proportional to 82,756 and 177,176
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Solution
The third proportional to 82,756 and 177,176 is: 379,323.98
Step by Step Solution
- Step 1: Write the proportion equation
82,756 : 177,176 = 177,176 : x - Step 2: Convert to fraction form
82,756/177,176 = 177,176/x - Step 3: Cross multiply
82,756x = 177,176 × 177,176 - Step 4: Simplify right side
82,756x = 31,391,334,976 - Step 5: Solve for x
x = 31,391,334,976/82,756 - Step 6: Final answer
x = 379,323.98
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.