Finding the Third Proportional to 57,122 and 123,964
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Solution
The third proportional to 57,122 and 123,964 is: 269,021.98
Step by Step Solution
- Step 1: Write the proportion equation
57,122 : 123,964 = 123,964 : x - Step 2: Convert to fraction form
57,122/123,964 = 123,964/x - Step 3: Cross multiply
57,122x = 123,964 × 123,964 - Step 4: Simplify right side
57,122x = 15,367,073,296 - Step 5: Solve for x
x = 15,367,073,296/57,122 - Step 6: Final answer
x = 269,021.98
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.