Finding the Third Proportional to 82,512 and 120,240
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Solution
The third proportional to 82,512 and 120,240 is: 175,218.85
Step by Step Solution
- Step 1: Write the proportion equation
82,512 : 120,240 = 120,240 : x - Step 2: Convert to fraction form
82,512/120,240 = 120,240/x - Step 3: Cross multiply
82,512x = 120,240 × 120,240 - Step 4: Simplify right side
82,512x = 14,457,657,600 - Step 5: Solve for x
x = 14,457,657,600/82,512 - Step 6: Final answer
x = 175,218.85
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.