Finding the Third Proportional to 47,132 and 100,744
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Solution
The third proportional to 47,132 and 100,744 is: 215,338.91
Step by Step Solution
- Step 1: Write the proportion equation
47,132 : 100,744 = 100,744 : x - Step 2: Convert to fraction form
47,132/100,744 = 100,744/x - Step 3: Cross multiply
47,132x = 100,744 × 100,744 - Step 4: Simplify right side
47,132x = 10,149,353,536 - Step 5: Solve for x
x = 10,149,353,536/47,132 - Step 6: Final answer
x = 215,338.91
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.