Finding the Third Proportional to 81,664 and 177,912
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Solution
The third proportional to 81,664 and 177,912 is: 387,596.49
Step by Step Solution
- Step 1: Write the proportion equation
81,664 : 177,912 = 177,912 : x - Step 2: Convert to fraction form
81,664/177,912 = 177,912/x - Step 3: Cross multiply
81,664x = 177,912 × 177,912 - Step 4: Simplify right side
81,664x = 31,652,679,744 - Step 5: Solve for x
x = 31,652,679,744/81,664 - Step 6: Final answer
x = 387,596.49
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.