Finding the Third Proportional to 82,824.75 and 110,349.75
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Solution
The third proportional to 82,824.75 and 110,349.75 is: 147,022.08
Step by Step Solution
- Step 1: Write the proportion equation
82,824.75 : 110,349.75 = 110,349.75 : x - Step 2: Convert to fraction form
82,824.75/110,349.75 = 110,349.75/x - Step 3: Cross multiply
82,824.75x = 110,349.75 × 110,349.75 - Step 4: Simplify right side
82,824.75x = 12,177,067,325.06 - Step 5: Solve for x
x = 12,177,067,325.06/82,824.75 - Step 6: Final answer
x = 147,022.08
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.