Finding the Third Proportional to 61,193 and 82,351
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Solution
The third proportional to 61,193 and 82,351 is: 110,824.56
Step by Step Solution
- Step 1: Write the proportion equation
61,193 : 82,351 = 82,351 : x - Step 2: Convert to fraction form
61,193/82,351 = 82,351/x - Step 3: Cross multiply
61,193x = 82,351 × 82,351 - Step 4: Simplify right side
61,193x = 6,781,687,201 - Step 5: Solve for x
x = 6,781,687,201/61,193 - Step 6: Final answer
x = 110,824.56
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.