Finding the Third Proportional to 103,968 and 202,680
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Solution
The third proportional to 103,968 and 202,680 is: 395,113.71
Step by Step Solution
- Step 1: Write the proportion equation
103,968 : 202,680 = 202,680 : x - Step 2: Convert to fraction form
103,968/202,680 = 202,680/x - Step 3: Cross multiply
103,968x = 202,680 × 202,680 - Step 4: Simplify right side
103,968x = 41,079,182,400 - Step 5: Solve for x
x = 41,079,182,400/103,968 - Step 6: Final answer
x = 395,113.71
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Why These Related Problems?
These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.