Finding the Third Proportional to 104 and 138
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Solution
The third proportional to 104 and 138 is: 183.12
Step by Step Solution
- Step 1: Write the proportion equation
104 : 138 = 138 : x - Step 2: Convert to fraction form
104/138 = 138/x - Step 3: Cross multiply
104x = 138 × 138 - Step 4: Simplify right side
104x = 19,044 - Step 5: Solve for x
x = 19,044/104 - Step 6: Final answer
x = 183.12
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.