Finding the Third Proportional to 82,292.25 and 107,496.75
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Solution
The third proportional to 82,292.25 and 107,496.75 is: 140,420.89
Step by Step Solution
- Step 1: Write the proportion equation
82,292.25 : 107,496.75 = 107,496.75 : x - Step 2: Convert to fraction form
82,292.25/107,496.75 = 107,496.75/x - Step 3: Cross multiply
82,292.25x = 107,496.75 × 107,496.75 - Step 4: Simplify right side
82,292.25x = 11,555,551,260.56 - Step 5: Solve for x
x = 11,555,551,260.56/82,292.25 - Step 6: Final answer
x = 140,420.89
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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.