Finding the Third Proportional to 78.75 and 172.13
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Solution
The third proportional to 78.75 and 172.13 is: 376.22
Step by Step Solution
- Step 1: Write the proportion equation
78.75 : 172.13 = 172.13 : x - Step 2: Convert to fraction form
78.75/172.13 = 172.13/x - Step 3: Cross multiply
78.75x = 172.13 × 172.13 - Step 4: Simplify right side
78.75x = 29,627.02 - Step 5: Solve for x
x = 29,627.02/78.75 - Step 6: Final answer
x = 376.22
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.