Finding the Third Proportional to 80 and 147.75
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Solution
The third proportional to 80 and 147.75 is: 272.88
Step by Step Solution
- Step 1: Write the proportion equation
80 : 147.75 = 147.75 : x - Step 2: Convert to fraction form
80/147.75 = 147.75/x - Step 3: Cross multiply
80x = 147.75 × 147.75 - Step 4: Simplify right side
80x = 21,830.06 - Step 5: Solve for x
x = 21,830.06/80 - Step 6: Final answer
x = 272.88
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Why These Related Problems?
These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.