Finding the Third Proportional to 117 and 128.50
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Solution
The third proportional to 117 and 128.50 is: 141.13
Step by Step Solution
- Step 1: Write the proportion equation
117 : 128.50 = 128.50 : x - Step 2: Convert to fraction form
117/128.50 = 128.50/x - Step 3: Cross multiply
117x = 128.50 × 128.50 - Step 4: Simplify right side
117x = 16,512.25 - Step 5: Solve for x
x = 16,512.25/117 - Step 6: Final answer
x = 141.13
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.