Finding the Third Proportional to 64,968 and 142,086
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Solution
The third proportional to 64,968 and 142,086 is: 310,744.23
Step by Step Solution
- Step 1: Write the proportion equation
64,968 : 142,086 = 142,086 : x - Step 2: Convert to fraction form
64,968/142,086 = 142,086/x - Step 3: Cross multiply
64,968x = 142,086 × 142,086 - Step 4: Simplify right side
64,968x = 20,188,431,396 - Step 5: Solve for x
x = 20,188,431,396/64,968 - Step 6: Final answer
x = 310,744.23
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.