Finding the Third Proportional to 96 and 148
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Solution
The third proportional to 96 and 148 is: 228.17
Step by Step Solution
- Step 1: Write the proportion equation
96 : 148 = 148 : x - Step 2: Convert to fraction form
96/148 = 148/x - Step 3: Cross multiply
96x = 148 × 148 - Step 4: Simplify right side
96x = 21,904 - Step 5: Solve for x
x = 21,904/96 - Step 6: Final answer
x = 228.17
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.