Finding the Third Proportional to 36,194 and 78,757
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Solution
The third proportional to 36,194 and 78,757 is: 171,372.74
Step by Step Solution
- Step 1: Write the proportion equation
36,194 : 78,757 = 78,757 : x - Step 2: Convert to fraction form
36,194/78,757 = 78,757/x - Step 3: Cross multiply
36,194x = 78,757 × 78,757 - Step 4: Simplify right side
36,194x = 6,202,665,049 - Step 5: Solve for x
x = 6,202,665,049/36,194 - Step 6: Final answer
x = 171,372.74
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.