Finding the Third Proportional to 36,542 and 78,268
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Solution
The third proportional to 36,542 and 78,268 is: 167,639.42
Step by Step Solution
- Step 1: Write the proportion equation
36,542 : 78,268 = 78,268 : x - Step 2: Convert to fraction form
36,542/78,268 = 78,268/x - Step 3: Cross multiply
36,542x = 78,268 × 78,268 - Step 4: Simplify right side
36,542x = 6,125,879,824 - Step 5: Solve for x
x = 6,125,879,824/36,542 - Step 6: Final answer
x = 167,639.42
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.