Finding the Third Proportional to 45,944 and 100,912
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Solution
The third proportional to 45,944 and 100,912 is: 221,644.43
Step by Step Solution
- Step 1: Write the proportion equation
45,944 : 100,912 = 100,912 : x - Step 2: Convert to fraction form
45,944/100,912 = 100,912/x - Step 3: Cross multiply
45,944x = 100,912 × 100,912 - Step 4: Simplify right side
45,944x = 10,183,231,744 - Step 5: Solve for x
x = 10,183,231,744/45,944 - Step 6: Final answer
x = 221,644.43
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.