Finding the Third Proportional to 100,824 and 154,761
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Solution
The third proportional to 100,824 and 154,761 is: 237,552.24
Step by Step Solution
- Step 1: Write the proportion equation
100,824 : 154,761 = 154,761 : x - Step 2: Convert to fraction form
100,824/154,761 = 154,761/x - Step 3: Cross multiply
100,824x = 154,761 × 154,761 - Step 4: Simplify right side
100,824x = 23,950,967,121 - Step 5: Solve for x
x = 23,950,967,121/100,824 - Step 6: Final answer
x = 237,552.24
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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.