Finding the Third Proportional to 76,169 and 177,939
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Solution
The third proportional to 76,169 and 177,939 is: 415,684.70
Step by Step Solution
- Step 1: Write the proportion equation
76,169 : 177,939 = 177,939 : x - Step 2: Convert to fraction form
76,169/177,939 = 177,939/x - Step 3: Cross multiply
76,169x = 177,939 × 177,939 - Step 4: Simplify right side
76,169x = 31,662,287,721 - Step 5: Solve for x
x = 31,662,287,721/76,169 - Step 6: Final answer
x = 415,684.70
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.