Finding the Third Proportional to 82,172 and 117,422
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Solution
The third proportional to 82,172 and 117,422 is: 167,793.48
Step by Step Solution
- Step 1: Write the proportion equation
82,172 : 117,422 = 117,422 : x - Step 2: Convert to fraction form
82,172/117,422 = 117,422/x - Step 3: Cross multiply
82,172x = 117,422 × 117,422 - Step 4: Simplify right side
82,172x = 13,787,926,084 - Step 5: Solve for x
x = 13,787,926,084/82,172 - Step 6: Final answer
x = 167,793.48
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.