Finding the Third Proportional to 75,576 and 164,760
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Solution
The third proportional to 75,576 and 164,760 is: 359,186.22
Step by Step Solution
- Step 1: Write the proportion equation
75,576 : 164,760 = 164,760 : x - Step 2: Convert to fraction form
75,576/164,760 = 164,760/x - Step 3: Cross multiply
75,576x = 164,760 × 164,760 - Step 4: Simplify right side
75,576x = 27,145,857,600 - Step 5: Solve for x
x = 27,145,857,600/75,576 - Step 6: Final answer
x = 359,186.22
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.