Finding the Third Proportional to 71,684 and 113,881
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Solution
The third proportional to 71,684 and 113,881 is: 180,917.39
Step by Step Solution
- Step 1: Write the proportion equation
71,684 : 113,881 = 113,881 : x - Step 2: Convert to fraction form
71,684/113,881 = 113,881/x - Step 3: Cross multiply
71,684x = 113,881 × 113,881 - Step 4: Simplify right side
71,684x = 12,968,882,161 - Step 5: Solve for x
x = 12,968,882,161/71,684 - Step 6: Final answer
x = 180,917.39
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.