Finding the Third Proportional to 82,108 and 123,759
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Solution
The third proportional to 82,108 and 123,759 is: 186,538.34
Step by Step Solution
- Step 1: Write the proportion equation
82,108 : 123,759 = 123,759 : x - Step 2: Convert to fraction form
82,108/123,759 = 123,759/x - Step 3: Cross multiply
82,108x = 123,759 × 123,759 - Step 4: Simplify right side
82,108x = 15,316,290,081 - Step 5: Solve for x
x = 15,316,290,081/82,108 - Step 6: Final answer
x = 186,538.34
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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.