Finding the Third Proportional to 82,873.13 and 177,843.09
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Solution
The third proportional to 82,873.13 and 177,843.09 is: 381,645.63
Step by Step Solution
- Step 1: Write the proportion equation
82,873.13 : 177,843.09 = 177,843.09 : x - Step 2: Convert to fraction form
82,873.13/177,843.09 = 177,843.09/x - Step 3: Cross multiply
82,873.13x = 177,843.09 × 177,843.09 - Step 4: Simplify right side
82,873.13x = 31,628,165,994.57 - Step 5: Solve for x
x = 31,628,165,994.57/82,873.13 - Step 6: Final answer
x = 381,645.63
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.