Finding the Third Proportional to 47,122.50 and 102,543
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Solution
The third proportional to 47,122.50 and 102,543 is: 223,143.23
Step by Step Solution
- Step 1: Write the proportion equation
47,122.50 : 102,543 = 102,543 : x - Step 2: Convert to fraction form
47,122.50/102,543 = 102,543/x - Step 3: Cross multiply
47,122.50x = 102,543 × 102,543 - Step 4: Simplify right side
47,122.50x = 10,515,066,849 - Step 5: Solve for x
x = 10,515,066,849/47,122.50 - Step 6: Final answer
x = 223,143.23
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.