Finding the Third Proportional to 82,021.50 and 128,499
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Solution
The third proportional to 82,021.50 and 128,499 is: 201,312.99
Step by Step Solution
- Step 1: Write the proportion equation
82,021.50 : 128,499 = 128,499 : x - Step 2: Convert to fraction form
82,021.50/128,499 = 128,499/x - Step 3: Cross multiply
82,021.50x = 128,499 × 128,499 - Step 4: Simplify right side
82,021.50x = 16,511,993,001 - Step 5: Solve for x
x = 16,511,993,001/82,021.50 - Step 6: Final answer
x = 201,312.99
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.