Finding the Third Proportional to 47,200 and 100,544
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Solution
The third proportional to 47,200 and 100,544 is: 214,175.76
Step by Step Solution
- Step 1: Write the proportion equation
47,200 : 100,544 = 100,544 : x - Step 2: Convert to fraction form
47,200/100,544 = 100,544/x - Step 3: Cross multiply
47,200x = 100,544 × 100,544 - Step 4: Simplify right side
47,200x = 10,109,095,936 - Step 5: Solve for x
x = 10,109,095,936/47,200 - Step 6: Final answer
x = 214,175.76
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.