Finding the Third Proportional to 67,832 and 103,764
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Solution
The third proportional to 67,832 and 103,764 is: 158,729.92
Step by Step Solution
- Step 1: Write the proportion equation
67,832 : 103,764 = 103,764 : x - Step 2: Convert to fraction form
67,832/103,764 = 103,764/x - Step 3: Cross multiply
67,832x = 103,764 × 103,764 - Step 4: Simplify right side
67,832x = 10,766,967,696 - Step 5: Solve for x
x = 10,766,967,696/67,832 - Step 6: Final answer
x = 158,729.92
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.