Finding the Third Proportional to 105,717 and 144,966
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Solution
The third proportional to 105,717 and 144,966 is: 198,786.77
Step by Step Solution
- Step 1: Write the proportion equation
105,717 : 144,966 = 144,966 : x - Step 2: Convert to fraction form
105,717/144,966 = 144,966/x - Step 3: Cross multiply
105,717x = 144,966 × 144,966 - Step 4: Simplify right side
105,717x = 21,015,141,156 - Step 5: Solve for x
x = 21,015,141,156/105,717 - Step 6: Final answer
x = 198,786.77
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.