Finding the Third Proportional to 127,142 and 177,837
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Solution
The third proportional to 127,142 and 177,837 is: 248,745.49
Step by Step Solution
- Step 1: Write the proportion equation
127,142 : 177,837 = 177,837 : x - Step 2: Convert to fraction form
127,142/177,837 = 177,837/x - Step 3: Cross multiply
127,142x = 177,837 × 177,837 - Step 4: Simplify right side
127,142x = 31,625,998,569 - Step 5: Solve for x
x = 31,625,998,569/127,142 - Step 6: Final answer
x = 248,745.49
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.