Finding the Third Proportional to 107,004 and 227,832
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Solution
The third proportional to 107,004 and 227,832 is: 485,097.94
Step by Step Solution
- Step 1: Write the proportion equation
107,004 : 227,832 = 227,832 : x - Step 2: Convert to fraction form
107,004/227,832 = 227,832/x - Step 3: Cross multiply
107,004x = 227,832 × 227,832 - Step 4: Simplify right side
107,004x = 51,907,420,224 - Step 5: Solve for x
x = 51,907,420,224/107,004 - Step 6: Final answer
x = 485,097.94
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.