Finding the Third Proportional to 67,418 and 146,722
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Solution
The third proportional to 67,418 and 146,722 is: 319,311.54
Step by Step Solution
- Step 1: Write the proportion equation
67,418 : 146,722 = 146,722 : x - Step 2: Convert to fraction form
67,418/146,722 = 146,722/x - Step 3: Cross multiply
67,418x = 146,722 × 146,722 - Step 4: Simplify right side
67,418x = 21,527,345,284 - Step 5: Solve for x
x = 21,527,345,284/67,418 - Step 6: Final answer
x = 319,311.54
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.