Finding the Third Proportional to 49,598 and 101,836
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Solution
The third proportional to 49,598 and 101,836 is: 209,092.52
Step by Step Solution
- Step 1: Write the proportion equation
49,598 : 101,836 = 101,836 : x - Step 2: Convert to fraction form
49,598/101,836 = 101,836/x - Step 3: Cross multiply
49,598x = 101,836 × 101,836 - Step 4: Simplify right side
49,598x = 10,370,570,896 - Step 5: Solve for x
x = 10,370,570,896/49,598 - Step 6: Final answer
x = 209,092.52
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.