Finding the Third Proportional to 75,165.75 and 177,414.75
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Solution
The third proportional to 75,165.75 and 177,414.75 is: 418,754.47
Step by Step Solution
- Step 1: Write the proportion equation
75,165.75 : 177,414.75 = 177,414.75 : x - Step 2: Convert to fraction form
75,165.75/177,414.75 = 177,414.75/x - Step 3: Cross multiply
75,165.75x = 177,414.75 × 177,414.75 - Step 4: Simplify right side
75,165.75x = 31,475,993,517.56 - Step 5: Solve for x
x = 31,475,993,517.56/75,165.75 - Step 6: Final answer
x = 418,754.47
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.