Finding the Third Proportional to 45,210 and 69,945
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Solution
The third proportional to 45,210 and 69,945 is: 108,212.85
Step by Step Solution
- Step 1: Write the proportion equation
45,210 : 69,945 = 69,945 : x - Step 2: Convert to fraction form
45,210/69,945 = 69,945/x - Step 3: Cross multiply
45,210x = 69,945 × 69,945 - Step 4: Simplify right side
45,210x = 4,892,303,025 - Step 5: Solve for x
x = 4,892,303,025/45,210 - Step 6: Final answer
x = 108,212.85
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.