Finding the Third Proportional to 122,593.50 and 189,843.75
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Solution
The third proportional to 122,593.50 and 189,843.75 is: 293,984.99
Step by Step Solution
- Step 1: Write the proportion equation
122,593.50 : 189,843.75 = 189,843.75 : x - Step 2: Convert to fraction form
122,593.50/189,843.75 = 189,843.75/x - Step 3: Cross multiply
122,593.50x = 189,843.75 × 189,843.75 - Step 4: Simplify right side
122,593.50x = 36,040,649,414.06 - Step 5: Solve for x
x = 36,040,649,414.06/122,593.50 - Step 6: Final answer
x = 293,984.99
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.