Finding the Third Proportional to 82,022 and 133,932
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Solution
The third proportional to 82,022 and 133,932 is: 218,694.75
Step by Step Solution
- Step 1: Write the proportion equation
82,022 : 133,932 = 133,932 : x - Step 2: Convert to fraction form
82,022/133,932 = 133,932/x - Step 3: Cross multiply
82,022x = 133,932 × 133,932 - Step 4: Simplify right side
82,022x = 17,937,780,624 - Step 5: Solve for x
x = 17,937,780,624/82,022 - Step 6: Final answer
x = 218,694.75
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Why These Related Problems?
These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.