Finding the Third Proportional to 100,124 and 217,744
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Solution
The third proportional to 100,124 and 217,744 is: 473,537.31
Step by Step Solution
- Step 1: Write the proportion equation
100,124 : 217,744 = 217,744 : x - Step 2: Convert to fraction form
100,124/217,744 = 217,744/x - Step 3: Cross multiply
100,124x = 217,744 × 217,744 - Step 4: Simplify right side
100,124x = 47,412,449,536 - Step 5: Solve for x
x = 47,412,449,536/100,124 - Step 6: Final answer
x = 473,537.31
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.