Finding the Third Proportional to 83,112 and 181,803
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Solution
The third proportional to 83,112 and 181,803 is: 397,684.22
Step by Step Solution
- Step 1: Write the proportion equation
83,112 : 181,803 = 181,803 : x - Step 2: Convert to fraction form
83,112/181,803 = 181,803/x - Step 3: Cross multiply
83,112x = 181,803 × 181,803 - Step 4: Simplify right side
83,112x = 33,052,330,809 - Step 5: Solve for x
x = 33,052,330,809/83,112 - Step 6: Final answer
x = 397,684.22
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.