Finding the Third Proportional to 82,095 and 177,288
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Solution
The third proportional to 82,095 and 177,288 is: 382,861.74
Step by Step Solution
- Step 1: Write the proportion equation
82,095 : 177,288 = 177,288 : x - Step 2: Convert to fraction form
82,095/177,288 = 177,288/x - Step 3: Cross multiply
82,095x = 177,288 × 177,288 - Step 4: Simplify right side
82,095x = 31,431,034,944 - Step 5: Solve for x
x = 31,431,034,944/82,095 - Step 6: Final answer
x = 382,861.74
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.