Finding the Third Proportional to 49,578 and 102,588
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Solution
The third proportional to 49,578 and 102,588 is: 212,277.58
Step by Step Solution
- Step 1: Write the proportion equation
49,578 : 102,588 = 102,588 : x - Step 2: Convert to fraction form
49,578/102,588 = 102,588/x - Step 3: Cross multiply
49,578x = 102,588 × 102,588 - Step 4: Simplify right side
49,578x = 10,524,297,744 - Step 5: Solve for x
x = 10,524,297,744/49,578 - Step 6: Final answer
x = 212,277.58
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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.