Finding the Third Proportional to 42,309 and 90,450
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Solution
The third proportional to 42,309 and 90,450 is: 193,367.90
Step by Step Solution
- Step 1: Write the proportion equation
42,309 : 90,450 = 90,450 : x - Step 2: Convert to fraction form
42,309/90,450 = 90,450/x - Step 3: Cross multiply
42,309x = 90,450 × 90,450 - Step 4: Simplify right side
42,309x = 8,181,202,500 - Step 5: Solve for x
x = 8,181,202,500/42,309 - Step 6: Final answer
x = 193,367.90
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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.