Finding the Third Proportional to 82,869 and 126,712
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Solution
The third proportional to 82,869 and 126,712 is: 193,750.75
Step by Step Solution
- Step 1: Write the proportion equation
82,869 : 126,712 = 126,712 : x - Step 2: Convert to fraction form
82,869/126,712 = 126,712/x - Step 3: Cross multiply
82,869x = 126,712 × 126,712 - Step 4: Simplify right side
82,869x = 16,055,930,944 - Step 5: Solve for x
x = 16,055,930,944/82,869 - Step 6: Final answer
x = 193,750.75
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.