Finding the Third Proportional to 54,084 and 82,180
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Solution
The third proportional to 54,084 and 82,180 is: 124,871.54
Step by Step Solution
- Step 1: Write the proportion equation
54,084 : 82,180 = 82,180 : x - Step 2: Convert to fraction form
54,084/82,180 = 82,180/x - Step 3: Cross multiply
54,084x = 82,180 × 82,180 - Step 4: Simplify right side
54,084x = 6,753,552,400 - Step 5: Solve for x
x = 6,753,552,400/54,084 - Step 6: Final answer
x = 124,871.54
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.