Finding the Third Proportional to 81,992 and 123,741
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Solution
The third proportional to 81,992 and 123,741 is: 186,747.92
Step by Step Solution
- Step 1: Write the proportion equation
81,992 : 123,741 = 123,741 : x - Step 2: Convert to fraction form
81,992/123,741 = 123,741/x - Step 3: Cross multiply
81,992x = 123,741 × 123,741 - Step 4: Simplify right side
81,992x = 15,311,835,081 - Step 5: Solve for x
x = 15,311,835,081/81,992 - Step 6: Final answer
x = 186,747.92
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.