Finding the Third Proportional to 49,206 and 101,912
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Solution
The third proportional to 49,206 and 101,912 is: 211,072.95
Step by Step Solution
- Step 1: Write the proportion equation
49,206 : 101,912 = 101,912 : x - Step 2: Convert to fraction form
49,206/101,912 = 101,912/x - Step 3: Cross multiply
49,206x = 101,912 × 101,912 - Step 4: Simplify right side
49,206x = 10,386,055,744 - Step 5: Solve for x
x = 10,386,055,744/49,206 - Step 6: Final answer
x = 211,072.95
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.