Finding the Third Proportional to 50,122.50 and 103,422
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Solution
The third proportional to 50,122.50 and 103,422 is: 213,399.37
Step by Step Solution
- Step 1: Write the proportion equation
50,122.50 : 103,422 = 103,422 : x - Step 2: Convert to fraction form
50,122.50/103,422 = 103,422/x - Step 3: Cross multiply
50,122.50x = 103,422 × 103,422 - Step 4: Simplify right side
50,122.50x = 10,696,110,084 - Step 5: Solve for x
x = 10,696,110,084/50,122.50 - Step 6: Final answer
x = 213,399.37
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.