Finding the Third Proportional to 49,144 and 73,964
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Solution
The third proportional to 49,144 and 73,964 is: 111,319.25
Step by Step Solution
- Step 1: Write the proportion equation
49,144 : 73,964 = 73,964 : x - Step 2: Convert to fraction form
49,144/73,964 = 73,964/x - Step 3: Cross multiply
49,144x = 73,964 × 73,964 - Step 4: Simplify right side
49,144x = 5,470,673,296 - Step 5: Solve for x
x = 5,470,673,296/49,144 - Step 6: Final answer
x = 111,319.25
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.