Finding the Third Proportional to 90,213.75 and 192,942
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Solution
The third proportional to 90,213.75 and 192,942 is: 412,649.02
Step by Step Solution
- Step 1: Write the proportion equation
90,213.75 : 192,942 = 192,942 : x - Step 2: Convert to fraction form
90,213.75/192,942 = 192,942/x - Step 3: Cross multiply
90,213.75x = 192,942 × 192,942 - Step 4: Simplify right side
90,213.75x = 37,226,615,364 - Step 5: Solve for x
x = 37,226,615,364/90,213.75 - Step 6: Final answer
x = 412,649.02
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.