Finding the Third Proportional to 82,883 and 131,449
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Solution
The third proportional to 82,883 and 131,449 is: 208,472.66
Step by Step Solution
- Step 1: Write the proportion equation
82,883 : 131,449 = 131,449 : x - Step 2: Convert to fraction form
82,883/131,449 = 131,449/x - Step 3: Cross multiply
82,883x = 131,449 × 131,449 - Step 4: Simplify right side
82,883x = 17,278,839,601 - Step 5: Solve for x
x = 17,278,839,601/82,883 - Step 6: Final answer
x = 208,472.66
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.