Finding the Third Proportional to 81,932 and 173,464
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Solution
The third proportional to 81,932 and 173,464 is: 367,252.84
Step by Step Solution
- Step 1: Write the proportion equation
81,932 : 173,464 = 173,464 : x - Step 2: Convert to fraction form
81,932/173,464 = 173,464/x - Step 3: Cross multiply
81,932x = 173,464 × 173,464 - Step 4: Simplify right side
81,932x = 30,089,759,296 - Step 5: Solve for x
x = 30,089,759,296/81,932 - Step 6: Final answer
x = 367,252.84
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.