Finding the Third Proportional to 49,148 and 73,970
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Solution
The third proportional to 49,148 and 73,970 is: 111,328.25
Step by Step Solution
- Step 1: Write the proportion equation
49,148 : 73,970 = 73,970 : x - Step 2: Convert to fraction form
49,148/73,970 = 73,970/x - Step 3: Cross multiply
49,148x = 73,970 × 73,970 - Step 4: Simplify right side
49,148x = 5,471,560,900 - Step 5: Solve for x
x = 5,471,560,900/49,148 - Step 6: Final answer
x = 111,328.25
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.