Finding the Third Proportional to 83.75 and 109
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Solution
The third proportional to 83.75 and 109 is: 141.86
Step by Step Solution
- Step 1: Write the proportion equation
83.75 : 109 = 109 : x - Step 2: Convert to fraction form
83.75/109 = 109/x - Step 3: Cross multiply
83.75x = 109 × 109 - Step 4: Simplify right side
83.75x = 11,881 - Step 5: Solve for x
x = 11,881/83.75 - Step 6: Final answer
x = 141.86
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.