Finding the Third Proportional to 82,135.13 and 176,545.13
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Solution
The third proportional to 82,135.13 and 176,545.13 is: 379,474.45
Step by Step Solution
- Step 1: Write the proportion equation
82,135.13 : 176,545.13 = 176,545.13 : x - Step 2: Convert to fraction form
82,135.13/176,545.13 = 176,545.13/x - Step 3: Cross multiply
82,135.13x = 176,545.13 × 176,545.13 - Step 4: Simplify right side
82,135.13x = 31,168,181,161.27 - Step 5: Solve for x
x = 31,168,181,161.27/82,135.13 - Step 6: Final answer
x = 379,474.45
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.