Finding the Third Proportional to 68 and 96
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Solution
The third proportional to 68 and 96 is: 135.53
Step by Step Solution
- Step 1: Write the proportion equation
68 : 96 = 96 : x - Step 2: Convert to fraction form
68/96 = 96/x - Step 3: Cross multiply
68x = 96 × 96 - Step 4: Simplify right side
68x = 9,216 - Step 5: Solve for x
x = 9,216/68 - Step 6: Final answer
x = 135.53
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.