Finding the Third Proportional to 49,760 and 107,272
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Solution
The third proportional to 49,760 and 107,272 is: 231,255.67
Step by Step Solution
- Step 1: Write the proportion equation
49,760 : 107,272 = 107,272 : x - Step 2: Convert to fraction form
49,760/107,272 = 107,272/x - Step 3: Cross multiply
49,760x = 107,272 × 107,272 - Step 4: Simplify right side
49,760x = 11,507,281,984 - Step 5: Solve for x
x = 11,507,281,984/49,760 - Step 6: Final answer
x = 231,255.67
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.