Finding the Third Proportional to 49,906 and 71,737
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Solution
The third proportional to 49,906 and 71,737 is: 103,117.80
Step by Step Solution
- Step 1: Write the proportion equation
49,906 : 71,737 = 71,737 : x - Step 2: Convert to fraction form
49,906/71,737 = 71,737/x - Step 3: Cross multiply
49,906x = 71,737 × 71,737 - Step 4: Simplify right side
49,906x = 5,146,197,169 - Step 5: Solve for x
x = 5,146,197,169/49,906 - Step 6: Final answer
x = 103,117.80
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.