Finding the Third Proportional to 81,965.25 and 176,850
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Solution
The third proportional to 81,965.25 and 176,850 is: 381,575.39
Step by Step Solution
- Step 1: Write the proportion equation
81,965.25 : 176,850 = 176,850 : x - Step 2: Convert to fraction form
81,965.25/176,850 = 176,850/x - Step 3: Cross multiply
81,965.25x = 176,850 × 176,850 - Step 4: Simplify right side
81,965.25x = 31,275,922,500 - Step 5: Solve for x
x = 31,275,922,500/81,965.25 - Step 6: Final answer
x = 381,575.39
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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.