Finding the Third Proportional to 85,722 and 131,843
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Solution
The third proportional to 85,722 and 131,843 is: 202,778.48
Step by Step Solution
- Step 1: Write the proportion equation
85,722 : 131,843 = 131,843 : x - Step 2: Convert to fraction form
85,722/131,843 = 131,843/x - Step 3: Cross multiply
85,722x = 131,843 × 131,843 - Step 4: Simplify right side
85,722x = 17,382,576,649 - Step 5: Solve for x
x = 17,382,576,649/85,722 - Step 6: Final answer
x = 202,778.48
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.