Finding the Third Proportional to 83,115 and 178,137
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Solution
The third proportional to 83,115 and 178,137 is: 381,793.79
Step by Step Solution
- Step 1: Write the proportion equation
83,115 : 178,137 = 178,137 : x - Step 2: Convert to fraction form
83,115/178,137 = 178,137/x - Step 3: Cross multiply
83,115x = 178,137 × 178,137 - Step 4: Simplify right side
83,115x = 31,732,790,769 - Step 5: Solve for x
x = 31,732,790,769/83,115 - Step 6: Final answer
x = 381,793.79
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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.