Finding the Third Proportional to 78,364 and 119,381
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Solution
The third proportional to 78,364 and 119,381 is: 181,866.97
Step by Step Solution
- Step 1: Write the proportion equation
78,364 : 119,381 = 119,381 : x - Step 2: Convert to fraction form
78,364/119,381 = 119,381/x - Step 3: Cross multiply
78,364x = 119,381 × 119,381 - Step 4: Simplify right side
78,364x = 14,251,823,161 - Step 5: Solve for x
x = 14,251,823,161/78,364 - Step 6: Final answer
x = 181,866.97
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.