Finding the Third Proportional to 106 and 113.50
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Solution
The third proportional to 106 and 113.50 is: 121.53
Step by Step Solution
- Step 1: Write the proportion equation
106 : 113.50 = 113.50 : x - Step 2: Convert to fraction form
106/113.50 = 113.50/x - Step 3: Cross multiply
106x = 113.50 × 113.50 - Step 4: Simplify right side
106x = 12,882.25 - Step 5: Solve for x
x = 12,882.25/106 - Step 6: Final answer
x = 121.53
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.