Finding the Third Proportional to 75,744 and 112,144
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Solution
The third proportional to 75,744 and 112,144 is: 166,036.61
Step by Step Solution
- Step 1: Write the proportion equation
75,744 : 112,144 = 112,144 : x - Step 2: Convert to fraction form
75,744/112,144 = 112,144/x - Step 3: Cross multiply
75,744x = 112,144 × 112,144 - Step 4: Simplify right side
75,744x = 12,576,276,736 - Step 5: Solve for x
x = 12,576,276,736/75,744 - Step 6: Final answer
x = 166,036.61
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.