Finding the Third Proportional to 50,777 and 78,940
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Solution
The third proportional to 50,777 and 78,940 is: 122,723.35
Step by Step Solution
- Step 1: Write the proportion equation
50,777 : 78,940 = 78,940 : x - Step 2: Convert to fraction form
50,777/78,940 = 78,940/x - Step 3: Cross multiply
50,777x = 78,940 × 78,940 - Step 4: Simplify right side
50,777x = 6,231,523,600 - Step 5: Solve for x
x = 6,231,523,600/50,777 - Step 6: Final answer
x = 122,723.35
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.