Finding the Third Proportional to 111,866 and 146,739
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Solution
The third proportional to 111,866 and 146,739 is: 192,483.28
Step by Step Solution
- Step 1: Write the proportion equation
111,866 : 146,739 = 146,739 : x - Step 2: Convert to fraction form
111,866/146,739 = 146,739/x - Step 3: Cross multiply
111,866x = 146,739 × 146,739 - Step 4: Simplify right side
111,866x = 21,532,334,121 - Step 5: Solve for x
x = 21,532,334,121/111,866 - Step 6: Final answer
x = 192,483.28
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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.