Finding the Third Proportional to 83,112 and 178,131
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Solution
The third proportional to 83,112 and 178,131 is: 381,781.85
Step by Step Solution
- Step 1: Write the proportion equation
83,112 : 178,131 = 178,131 : x - Step 2: Convert to fraction form
83,112/178,131 = 178,131/x - Step 3: Cross multiply
83,112x = 178,131 × 178,131 - Step 4: Simplify right side
83,112x = 31,730,653,161 - Step 5: Solve for x
x = 31,730,653,161/83,112 - Step 6: Final answer
x = 381,781.85
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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.