Finding the Third Proportional to 132.75 and 194.06
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Solution
The third proportional to 132.75 and 194.06 is: 283.69
Step by Step Solution
- Step 1: Write the proportion equation
132.75 : 194.06 = 194.06 : x - Step 2: Convert to fraction form
132.75/194.06 = 194.06/x - Step 3: Cross multiply
132.75x = 194.06 × 194.06 - Step 4: Simplify right side
132.75x = 37,660.25 - Step 5: Solve for x
x = 37,660.25/132.75 - Step 6: Final answer
x = 283.69
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.