Finding the Third Proportional to 49,146 and 73,967
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Solution
The third proportional to 49,146 and 73,967 is: 111,323.75
Step by Step Solution
- Step 1: Write the proportion equation
49,146 : 73,967 = 73,967 : x - Step 2: Convert to fraction form
49,146/73,967 = 73,967/x - Step 3: Cross multiply
49,146x = 73,967 × 73,967 - Step 4: Simplify right side
49,146x = 5,471,117,089 - Step 5: Solve for x
x = 5,471,117,089/49,146 - Step 6: Final answer
x = 111,323.75
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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.