Finding the Third Proportional to 98.72 and 144.28
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Solution
The third proportional to 98.72 and 144.28 is: 210.87
Step by Step Solution
- Step 1: Write the proportion equation
98.72 : 144.28 = 144.28 : x - Step 2: Convert to fraction form
98.72/144.28 = 144.28/x - Step 3: Cross multiply
98.72x = 144.28 × 144.28 - Step 4: Simplify right side
98.72x = 20,817.08 - Step 5: Solve for x
x = 20,817.08/98.72 - Step 6: Final answer
x = 210.87
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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.