Finding the Third Proportional to 82,766 and 124,122
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Solution
The third proportional to 82,766 and 124,122 is: 186,142.51
Step by Step Solution
- Step 1: Write the proportion equation
82,766 : 124,122 = 124,122 : x - Step 2: Convert to fraction form
82,766/124,122 = 124,122/x - Step 3: Cross multiply
82,766x = 124,122 × 124,122 - Step 4: Simplify right side
82,766x = 15,406,270,884 - Step 5: Solve for x
x = 15,406,270,884/82,766 - Step 6: Final answer
x = 186,142.51
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.