Finding the Third Proportional to 67 and 142
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Solution
The third proportional to 67 and 142 is: 300.96
Step by Step Solution
- Step 1: Write the proportion equation
67 : 142 = 142 : x - Step 2: Convert to fraction form
67/142 = 142/x - Step 3: Cross multiply
67x = 142 × 142 - Step 4: Simplify right side
67x = 20,164 - Step 5: Solve for x
x = 20,164/67 - Step 6: Final answer
x = 300.96
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.