Finding the Third Proportional to 82,110 and 177,348
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Solution
The third proportional to 82,110 and 177,348 is: 383,050.95
Step by Step Solution
- Step 1: Write the proportion equation
82,110 : 177,348 = 177,348 : x - Step 2: Convert to fraction form
82,110/177,348 = 177,348/x - Step 3: Cross multiply
82,110x = 177,348 × 177,348 - Step 4: Simplify right side
82,110x = 31,452,313,104 - Step 5: Solve for x
x = 31,452,313,104/82,110 - Step 6: Final answer
x = 383,050.95
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.