Finding the Third Proportional to 81,936 and 176,328
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Solution
The third proportional to 81,936 and 176,328 is: 379,461.57
Step by Step Solution
- Step 1: Write the proportion equation
81,936 : 176,328 = 176,328 : x - Step 2: Convert to fraction form
81,936/176,328 = 176,328/x - Step 3: Cross multiply
81,936x = 176,328 × 176,328 - Step 4: Simplify right side
81,936x = 31,091,563,584 - Step 5: Solve for x
x = 31,091,563,584/81,936 - Step 6: Final answer
x = 379,461.57
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.