Finding the Third Proportional to 108.75 and 119.25
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Solution
The third proportional to 108.75 and 119.25 is: 130.76
Step by Step Solution
- Step 1: Write the proportion equation
108.75 : 119.25 = 119.25 : x - Step 2: Convert to fraction form
108.75/119.25 = 119.25/x - Step 3: Cross multiply
108.75x = 119.25 × 119.25 - Step 4: Simplify right side
108.75x = 14,220.56 - Step 5: Solve for x
x = 14,220.56/108.75 - Step 6: Final answer
x = 130.76
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.