Finding the Third Proportional to 53,236 and 82,416
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Solution
The third proportional to 53,236 and 82,416 is: 127,590.30
Step by Step Solution
- Step 1: Write the proportion equation
53,236 : 82,416 = 82,416 : x - Step 2: Convert to fraction form
53,236/82,416 = 82,416/x - Step 3: Cross multiply
53,236x = 82,416 × 82,416 - Step 4: Simplify right side
53,236x = 6,792,397,056 - Step 5: Solve for x
x = 6,792,397,056/53,236 - Step 6: Final answer
x = 127,590.30
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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.