Finding the Third Proportional to 82,200 and 123,900
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Solution
The third proportional to 82,200 and 123,900 is: 186,754.38
Step by Step Solution
- Step 1: Write the proportion equation
82,200 : 123,900 = 123,900 : x - Step 2: Convert to fraction form
82,200/123,900 = 123,900/x - Step 3: Cross multiply
82,200x = 123,900 × 123,900 - Step 4: Simplify right side
82,200x = 15,351,210,000 - Step 5: Solve for x
x = 15,351,210,000/82,200 - Step 6: Final answer
x = 186,754.38
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.