Finding the Third Proportional to 82,030.50 and 128,514
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Solution
The third proportional to 82,030.50 and 128,514 is: 201,337.90
Step by Step Solution
- Step 1: Write the proportion equation
82,030.50 : 128,514 = 128,514 : x - Step 2: Convert to fraction form
82,030.50/128,514 = 128,514/x - Step 3: Cross multiply
82,030.50x = 128,514 × 128,514 - Step 4: Simplify right side
82,030.50x = 16,515,848,196 - Step 5: Solve for x
x = 16,515,848,196/82,030.50 - Step 6: Final answer
x = 201,337.90
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.