Finding the Third Proportional to 53,144 and 82,236
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Solution
The third proportional to 53,144 and 82,236 is: 127,253.49
Step by Step Solution
- Step 1: Write the proportion equation
53,144 : 82,236 = 82,236 : x - Step 2: Convert to fraction form
53,144/82,236 = 82,236/x - Step 3: Cross multiply
53,144x = 82,236 × 82,236 - Step 4: Simplify right side
53,144x = 6,762,759,696 - Step 5: Solve for x
x = 6,762,759,696/53,144 - Step 6: Final answer
x = 127,253.49
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.