Finding the Third Proportional to 82,346 and 120,380
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Solution
The third proportional to 82,346 and 120,380 is: 175,981.16
Step by Step Solution
- Step 1: Write the proportion equation
82,346 : 120,380 = 120,380 : x - Step 2: Convert to fraction form
82,346/120,380 = 120,380/x - Step 3: Cross multiply
82,346x = 120,380 × 120,380 - Step 4: Simplify right side
82,346x = 14,491,344,400 - Step 5: Solve for x
x = 14,491,344,400/82,346 - Step 6: Final answer
x = 175,981.16
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.