Finding the Third Proportional to 75,208.50 and 177,531.75
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Solution
The third proportional to 75,208.50 and 177,531.75 is: 419,068.62
Step by Step Solution
- Step 1: Write the proportion equation
75,208.50 : 177,531.75 = 177,531.75 : x - Step 2: Convert to fraction form
75,208.50/177,531.75 = 177,531.75/x - Step 3: Cross multiply
75,208.50x = 177,531.75 × 177,531.75 - Step 4: Simplify right side
75,208.50x = 31,517,522,258.06 - Step 5: Solve for x
x = 31,517,522,258.06/75,208.50 - Step 6: Final answer
x = 419,068.62
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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.