Finding the Third Proportional to 49,787.50 and 105,404
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Solution
The third proportional to 49,787.50 and 105,404 is: 223,148.45
Step by Step Solution
- Step 1: Write the proportion equation
49,787.50 : 105,404 = 105,404 : x - Step 2: Convert to fraction form
49,787.50/105,404 = 105,404/x - Step 3: Cross multiply
49,787.50x = 105,404 × 105,404 - Step 4: Simplify right side
49,787.50x = 11,110,003,216 - Step 5: Solve for x
x = 11,110,003,216/49,787.50 - Step 6: Final answer
x = 223,148.45
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.