Finding the Third Proportional to 68,328 and 146,976
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Solution
The third proportional to 68,328 and 146,976 is: 316,150.69
Step by Step Solution
- Step 1: Write the proportion equation
68,328 : 146,976 = 146,976 : x - Step 2: Convert to fraction form
68,328/146,976 = 146,976/x - Step 3: Cross multiply
68,328x = 146,976 × 146,976 - Step 4: Simplify right side
68,328x = 21,601,944,576 - Step 5: Solve for x
x = 21,601,944,576/68,328 - Step 6: Final answer
x = 316,150.69
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.