Finding the Third Proportional to 48,523 and 102,878
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Solution
The third proportional to 48,523 and 102,878 is: 218,120.95
Step by Step Solution
- Step 1: Write the proportion equation
48,523 : 102,878 = 102,878 : x - Step 2: Convert to fraction form
48,523/102,878 = 102,878/x - Step 3: Cross multiply
48,523x = 102,878 × 102,878 - Step 4: Simplify right side
48,523x = 10,583,882,884 - Step 5: Solve for x
x = 10,583,882,884/48,523 - Step 6: Final answer
x = 218,120.95
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.