Finding the Third Proportional to 49,947.50 and 106,252
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Solution
The third proportional to 49,947.50 and 106,252 is: 226,027.08
Step by Step Solution
- Step 1: Write the proportion equation
49,947.50 : 106,252 = 106,252 : x - Step 2: Convert to fraction form
49,947.50/106,252 = 106,252/x - Step 3: Cross multiply
49,947.50x = 106,252 × 106,252 - Step 4: Simplify right side
49,947.50x = 11,289,487,504 - Step 5: Solve for x
x = 11,289,487,504/49,947.50 - Step 6: Final answer
x = 226,027.08
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.