Finding the Third Proportional to 72.75 and 104.25
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Solution
The third proportional to 72.75 and 104.25 is: 149.39
Step by Step Solution
- Step 1: Write the proportion equation
72.75 : 104.25 = 104.25 : x - Step 2: Convert to fraction form
72.75/104.25 = 104.25/x - Step 3: Cross multiply
72.75x = 104.25 × 104.25 - Step 4: Simplify right side
72.75x = 10,868.06 - Step 5: Solve for x
x = 10,868.06/72.75 - Step 6: Final answer
x = 149.39
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.