Finding the Third Proportional to 49,237 and 78,162
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Solution
The third proportional to 49,237 and 78,162 is: 124,079.42
Step by Step Solution
- Step 1: Write the proportion equation
49,237 : 78,162 = 78,162 : x - Step 2: Convert to fraction form
49,237/78,162 = 78,162/x - Step 3: Cross multiply
49,237x = 78,162 × 78,162 - Step 4: Simplify right side
49,237x = 6,109,298,244 - Step 5: Solve for x
x = 6,109,298,244/49,237 - Step 6: Final answer
x = 124,079.42
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.