Finding the Third Proportional to 53,522 and 123,941
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Solution
The third proportional to 53,522 and 123,941 is: 287,010.42
Step by Step Solution
- Step 1: Write the proportion equation
53,522 : 123,941 = 123,941 : x - Step 2: Convert to fraction form
53,522/123,941 = 123,941/x - Step 3: Cross multiply
53,522x = 123,941 × 123,941 - Step 4: Simplify right side
53,522x = 15,361,371,481 - Step 5: Solve for x
x = 15,361,371,481/53,522 - Step 6: Final answer
x = 287,010.42
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.