Finding the Third Proportional to 82,893 and 177,420
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Solution
The third proportional to 82,893 and 177,420 is: 379,740.83
Step by Step Solution
- Step 1: Write the proportion equation
82,893 : 177,420 = 177,420 : x - Step 2: Convert to fraction form
82,893/177,420 = 177,420/x - Step 3: Cross multiply
82,893x = 177,420 × 177,420 - Step 4: Simplify right side
82,893x = 31,477,856,400 - Step 5: Solve for x
x = 31,477,856,400/82,893 - Step 6: Final answer
x = 379,740.83
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.