Finding the Third Proportional to 103,726 and 227,532
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Solution
The third proportional to 103,726 and 227,532 is: 499,111.23
Step by Step Solution
- Step 1: Write the proportion equation
103,726 : 227,532 = 227,532 : x - Step 2: Convert to fraction form
103,726/227,532 = 227,532/x - Step 3: Cross multiply
103,726x = 227,532 × 227,532 - Step 4: Simplify right side
103,726x = 51,770,811,024 - Step 5: Solve for x
x = 51,770,811,024/103,726 - Step 6: Final answer
x = 499,111.23
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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.