Finding the Third Proportional to 67,826 and 103,755
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Solution
The third proportional to 67,826 and 103,755 is: 158,716.42
Step by Step Solution
- Step 1: Write the proportion equation
67,826 : 103,755 = 103,755 : x - Step 2: Convert to fraction form
67,826/103,755 = 103,755/x - Step 3: Cross multiply
67,826x = 103,755 × 103,755 - Step 4: Simplify right side
67,826x = 10,765,100,025 - Step 5: Solve for x
x = 10,765,100,025/67,826 - Step 6: Final answer
x = 158,716.42
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.