Finding the Third Proportional to 48,105 and 102,744
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Solution
The third proportional to 48,105 and 102,744 is: 219,443.50
Step by Step Solution
- Step 1: Write the proportion equation
48,105 : 102,744 = 102,744 : x - Step 2: Convert to fraction form
48,105/102,744 = 102,744/x - Step 3: Cross multiply
48,105x = 102,744 × 102,744 - Step 4: Simplify right side
48,105x = 10,556,329,536 - Step 5: Solve for x
x = 10,556,329,536/48,105 - Step 6: Final answer
x = 219,443.50
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.