Finding the Third Proportional to 123,190 and 176,146
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Solution
The third proportional to 123,190 and 176,146 is: 251,866.33
Step by Step Solution
- Step 1: Write the proportion equation
123,190 : 176,146 = 176,146 : x - Step 2: Convert to fraction form
123,190/176,146 = 176,146/x - Step 3: Cross multiply
123,190x = 176,146 × 176,146 - Step 4: Simplify right side
123,190x = 31,027,413,316 - Step 5: Solve for x
x = 31,027,413,316/123,190 - Step 6: Final answer
x = 251,866.33
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.