Finding the Third Proportional to 54 and 142.50
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Solution
The third proportional to 54 and 142.50 is: 376.04
Step by Step Solution
- Step 1: Write the proportion equation
54 : 142.50 = 142.50 : x - Step 2: Convert to fraction form
54/142.50 = 142.50/x - Step 3: Cross multiply
54x = 142.50 × 142.50 - Step 4: Simplify right side
54x = 20,306.25 - Step 5: Solve for x
x = 20,306.25/54 - Step 6: Final answer
x = 376.04
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Why These Related Problems?
These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.