Finding the Third Proportional to 78,224 and 161,984
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Solution
The third proportional to 78,224 and 161,984 is: 335,431.79
Step by Step Solution
- Step 1: Write the proportion equation
78,224 : 161,984 = 161,984 : x - Step 2: Convert to fraction form
78,224/161,984 = 161,984/x - Step 3: Cross multiply
78,224x = 161,984 × 161,984 - Step 4: Simplify right side
78,224x = 26,238,816,256 - Step 5: Solve for x
x = 26,238,816,256/78,224 - Step 6: Final answer
x = 335,431.79
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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.