Finding the Third Proportional to 51,024 and 111,912
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Solution
The third proportional to 51,024 and 111,912 is: 245,458.92
Step by Step Solution
- Step 1: Write the proportion equation
51,024 : 111,912 = 111,912 : x - Step 2: Convert to fraction form
51,024/111,912 = 111,912/x - Step 3: Cross multiply
51,024x = 111,912 × 111,912 - Step 4: Simplify right side
51,024x = 12,524,295,744 - Step 5: Solve for x
x = 12,524,295,744/51,024 - Step 6: Final answer
x = 245,458.92
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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.