Finding the Third Proportional to 49,466 and 107,138
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Solution
The third proportional to 49,466 and 107,138 is: 232,049.31
Step by Step Solution
- Step 1: Write the proportion equation
49,466 : 107,138 = 107,138 : x - Step 2: Convert to fraction form
49,466/107,138 = 107,138/x - Step 3: Cross multiply
49,466x = 107,138 × 107,138 - Step 4: Simplify right side
49,466x = 11,478,551,044 - Step 5: Solve for x
x = 11,478,551,044/49,466 - Step 6: Final answer
x = 232,049.31
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.