Finding the Third Proportional to 77,724 and 166,504
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Solution
The third proportional to 77,724 and 166,504 is: 356,692.68
Step by Step Solution
- Step 1: Write the proportion equation
77,724 : 166,504 = 166,504 : x - Step 2: Convert to fraction form
77,724/166,504 = 166,504/x - Step 3: Cross multiply
77,724x = 166,504 × 166,504 - Step 4: Simplify right side
77,724x = 27,723,582,016 - Step 5: Solve for x
x = 27,723,582,016/77,724 - Step 6: Final answer
x = 356,692.68
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.