Finding the Third Proportional to 91,969 and 197,971
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Solution
The third proportional to 91,969 and 197,971 is: 426,149.21
Step by Step Solution
- Step 1: Write the proportion equation
91,969 : 197,971 = 197,971 : x - Step 2: Convert to fraction form
91,969/197,971 = 197,971/x - Step 3: Cross multiply
91,969x = 197,971 × 197,971 - Step 4: Simplify right side
91,969x = 39,192,516,841 - Step 5: Solve for x
x = 39,192,516,841/91,969 - Step 6: Final answer
x = 426,149.21
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.