Finding the Third Proportional to 75,741 and 159,471
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Solution
The third proportional to 75,741 and 159,471 is: 335,762.66
Step by Step Solution
- Step 1: Write the proportion equation
75,741 : 159,471 = 159,471 : x - Step 2: Convert to fraction form
75,741/159,471 = 159,471/x - Step 3: Cross multiply
75,741x = 159,471 × 159,471 - Step 4: Simplify right side
75,741x = 25,430,999,841 - Step 5: Solve for x
x = 25,430,999,841/75,741 - Step 6: Final answer
x = 335,762.66
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.