Finding the Third Proportional to 81,578 and 114,880
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Solution
The third proportional to 81,578 and 114,880 is: 161,776.64
Step by Step Solution
- Step 1: Write the proportion equation
81,578 : 114,880 = 114,880 : x - Step 2: Convert to fraction form
81,578/114,880 = 114,880/x - Step 3: Cross multiply
81,578x = 114,880 × 114,880 - Step 4: Simplify right side
81,578x = 13,197,414,400 - Step 5: Solve for x
x = 13,197,414,400/81,578 - Step 6: Final answer
x = 161,776.64
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.