Finding the Third Proportional to 112 and 202
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Solution
The third proportional to 112 and 202 is: 364.32
Step by Step Solution
- Step 1: Write the proportion equation
112 : 202 = 202 : x - Step 2: Convert to fraction form
112/202 = 202/x - Step 3: Cross multiply
112x = 202 × 202 - Step 4: Simplify right side
112x = 40,804 - Step 5: Solve for x
x = 40,804/112 - Step 6: Final answer
x = 364.32
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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.