Finding the Third Proportional to 47,120 and 100,777
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Solution
The third proportional to 47,120 and 100,777 is: 215,534.88
Step by Step Solution
- Step 1: Write the proportion equation
47,120 : 100,777 = 100,777 : x - Step 2: Convert to fraction form
47,120/100,777 = 100,777/x - Step 3: Cross multiply
47,120x = 100,777 × 100,777 - Step 4: Simplify right side
47,120x = 10,156,003,729 - Step 5: Solve for x
x = 10,156,003,729/47,120 - Step 6: Final answer
x = 215,534.88
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.