Finding the Third Proportional to 105.75 and 159.75
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Solution
The third proportional to 105.75 and 159.75 is: 241.32
Step by Step Solution
- Step 1: Write the proportion equation
105.75 : 159.75 = 159.75 : x - Step 2: Convert to fraction form
105.75/159.75 = 159.75/x - Step 3: Cross multiply
105.75x = 159.75 × 159.75 - Step 4: Simplify right side
105.75x = 25,520.06 - Step 5: Solve for x
x = 25,520.06/105.75 - Step 6: Final answer
x = 241.32
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.