Finding the Third Proportional to 67,226 and 146,744
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Solution
The third proportional to 67,226 and 146,744 is: 320,319.54
Step by Step Solution
- Step 1: Write the proportion equation
67,226 : 146,744 = 146,744 : x - Step 2: Convert to fraction form
67,226/146,744 = 146,744/x - Step 3: Cross multiply
67,226x = 146,744 × 146,744 - Step 4: Simplify right side
67,226x = 21,533,801,536 - Step 5: Solve for x
x = 21,533,801,536/67,226 - Step 6: Final answer
x = 320,319.54
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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.