Finding the Third Proportional to 31,112 and 68,274
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Solution
The third proportional to 31,112 and 68,274 is: 149,824.48
Step by Step Solution
- Step 1: Write the proportion equation
31,112 : 68,274 = 68,274 : x - Step 2: Convert to fraction form
31,112/68,274 = 68,274/x - Step 3: Cross multiply
31,112x = 68,274 × 68,274 - Step 4: Simplify right side
31,112x = 4,661,339,076 - Step 5: Solve for x
x = 4,661,339,076/31,112 - Step 6: Final answer
x = 149,824.48
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.