Finding the Third Proportional to 100,134 and 232,839
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Solution
The third proportional to 100,134 and 232,839 is: 541,414.50
Step by Step Solution
- Step 1: Write the proportion equation
100,134 : 232,839 = 232,839 : x - Step 2: Convert to fraction form
100,134/232,839 = 232,839/x - Step 3: Cross multiply
100,134x = 232,839 × 232,839 - Step 4: Simplify right side
100,134x = 54,213,999,921 - Step 5: Solve for x
x = 54,213,999,921/100,134 - Step 6: Final answer
x = 541,414.50
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.