Finding the Third Proportional to 81,983 and 176,881
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Solution
The third proportional to 81,983 and 176,881 is: 381,626.53
Step by Step Solution
- Step 1: Write the proportion equation
81,983 : 176,881 = 176,881 : x - Step 2: Convert to fraction form
81,983/176,881 = 176,881/x - Step 3: Cross multiply
81,983x = 176,881 × 176,881 - Step 4: Simplify right side
81,983x = 31,286,888,161 - Step 5: Solve for x
x = 31,286,888,161/81,983 - Step 6: Final answer
x = 381,626.53
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.