Finding the Third Proportional to 105,112 and 227,700
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Solution
The third proportional to 105,112 and 227,700 is: 493,257.57
Step by Step Solution
- Step 1: Write the proportion equation
105,112 : 227,700 = 227,700 : x - Step 2: Convert to fraction form
105,112/227,700 = 227,700/x - Step 3: Cross multiply
105,112x = 227,700 × 227,700 - Step 4: Simplify right side
105,112x = 51,847,290,000 - Step 5: Solve for x
x = 51,847,290,000/105,112 - Step 6: Final answer
x = 493,257.57
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.