Finding the Third Proportional to 82,295 and 122,902
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Solution
The third proportional to 82,295 and 122,902 is: 183,545.80
Step by Step Solution
- Step 1: Write the proportion equation
82,295 : 122,902 = 122,902 : x - Step 2: Convert to fraction form
82,295/122,902 = 122,902/x - Step 3: Cross multiply
82,295x = 122,902 × 122,902 - Step 4: Simplify right side
82,295x = 15,104,901,604 - Step 5: Solve for x
x = 15,104,901,604/82,295 - Step 6: Final answer
x = 183,545.80
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.