Finding the Third Proportional to 47,896 and 104,082
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Solution
The third proportional to 47,896 and 104,082 is: 226,178.86
Step by Step Solution
- Step 1: Write the proportion equation
47,896 : 104,082 = 104,082 : x - Step 2: Convert to fraction form
47,896/104,082 = 104,082/x - Step 3: Cross multiply
47,896x = 104,082 × 104,082 - Step 4: Simplify right side
47,896x = 10,833,062,724 - Step 5: Solve for x
x = 10,833,062,724/47,896 - Step 6: Final answer
x = 226,178.86
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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.