Finding the Third Proportional to 82,671 and 111,703
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Solution
The third proportional to 82,671 and 111,703 is: 150,930.32
Step by Step Solution
- Step 1: Write the proportion equation
82,671 : 111,703 = 111,703 : x - Step 2: Convert to fraction form
82,671/111,703 = 111,703/x - Step 3: Cross multiply
82,671x = 111,703 × 111,703 - Step 4: Simplify right side
82,671x = 12,477,560,209 - Step 5: Solve for x
x = 12,477,560,209/82,671 - Step 6: Final answer
x = 150,930.32
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.