Finding the Third Proportional to 53,950 and 117,782
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Solution
The third proportional to 53,950 and 117,782 is: 257,138.08
Step by Step Solution
- Step 1: Write the proportion equation
53,950 : 117,782 = 117,782 : x - Step 2: Convert to fraction form
53,950/117,782 = 117,782/x - Step 3: Cross multiply
53,950x = 117,782 × 117,782 - Step 4: Simplify right side
53,950x = 13,872,599,524 - Step 5: Solve for x
x = 13,872,599,524/53,950 - Step 6: Final answer
x = 257,138.08
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.