Finding the Third Proportional to 106 and 110
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Solution
The third proportional to 106 and 110 is: 114.15
Step by Step Solution
- Step 1: Write the proportion equation
106 : 110 = 110 : x - Step 2: Convert to fraction form
106/110 = 110/x - Step 3: Cross multiply
106x = 110 × 110 - Step 4: Simplify right side
106x = 12,100 - Step 5: Solve for x
x = 12,100/106 - Step 6: Final answer
x = 114.15
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These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.