Finding the Third Proportional to 105,126 and 227,748
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Solution
The third proportional to 105,126 and 227,748 is: 493,399.84
Step by Step Solution
- Step 1: Write the proportion equation
105,126 : 227,748 = 227,748 : x - Step 2: Convert to fraction form
105,126/227,748 = 227,748/x - Step 3: Cross multiply
105,126x = 227,748 × 227,748 - Step 4: Simplify right side
105,126x = 51,869,151,504 - Step 5: Solve for x
x = 51,869,151,504/105,126 - Step 6: Final answer
x = 493,399.84
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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.