Finding the Third Proportional to 45,946 and 100,096
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Solution
The third proportional to 45,946 and 100,096 is: 218,064.89
Step by Step Solution
- Step 1: Write the proportion equation
45,946 : 100,096 = 100,096 : x - Step 2: Convert to fraction form
45,946/100,096 = 100,096/x - Step 3: Cross multiply
45,946x = 100,096 × 100,096 - Step 4: Simplify right side
45,946x = 10,019,209,216 - Step 5: Solve for x
x = 10,019,209,216/45,946 - Step 6: Final answer
x = 218,064.89
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.