Finding the Third Proportional to 99,715.50 and 149,642
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Solution
The third proportional to 99,715.50 and 149,642 is: 224,566.17
Step by Step Solution
- Step 1: Write the proportion equation
99,715.50 : 149,642 = 149,642 : x - Step 2: Convert to fraction form
99,715.50/149,642 = 149,642/x - Step 3: Cross multiply
99,715.50x = 149,642 × 149,642 - Step 4: Simplify right side
99,715.50x = 22,392,728,164 - Step 5: Solve for x
x = 22,392,728,164/99,715.50 - Step 6: Final answer
x = 224,566.17
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.