Finding the Third Proportional to 81,578 and 172,948
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Solution
The third proportional to 81,578 and 172,948 is: 366,655.36
Step by Step Solution
- Step 1: Write the proportion equation
81,578 : 172,948 = 172,948 : x - Step 2: Convert to fraction form
81,578/172,948 = 172,948/x - Step 3: Cross multiply
81,578x = 172,948 × 172,948 - Step 4: Simplify right side
81,578x = 29,911,010,704 - Step 5: Solve for x
x = 29,911,010,704/81,578 - Step 6: Final answer
x = 366,655.36
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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.