Finding the Third Proportional to 50,420 and 107,464
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Solution
The third proportional to 50,420 and 107,464 is: 229,046.24
Step by Step Solution
- Step 1: Write the proportion equation
50,420 : 107,464 = 107,464 : x - Step 2: Convert to fraction form
50,420/107,464 = 107,464/x - Step 3: Cross multiply
50,420x = 107,464 × 107,464 - Step 4: Simplify right side
50,420x = 11,548,511,296 - Step 5: Solve for x
x = 11,548,511,296/50,420 - Step 6: Final answer
x = 229,046.24
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.