Finding the Third Proportional to 78.75 and 105
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Solution
The third proportional to 78.75 and 105 is: 140
Step by Step Solution
- Step 1: Write the proportion equation
78.75 : 105 = 105 : x - Step 2: Convert to fraction form
78.75/105 = 105/x - Step 3: Cross multiply
78.75x = 105 × 105 - Step 4: Simplify right side
78.75x = 11,025 - Step 5: Solve for x
x = 11,025/78.75 - Step 6: Final answer
x = 140
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.