Finding the Third Proportional to 50,417.50 and 105,995
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Solution
The third proportional to 50,417.50 and 105,995 is: 222,838.10
Step by Step Solution
- Step 1: Write the proportion equation
50,417.50 : 105,995 = 105,995 : x - Step 2: Convert to fraction form
50,417.50/105,995 = 105,995/x - Step 3: Cross multiply
50,417.50x = 105,995 × 105,995 - Step 4: Simplify right side
50,417.50x = 11,234,940,025 - Step 5: Solve for x
x = 11,234,940,025/50,417.50 - Step 6: Final answer
x = 222,838.10
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.