Finding the Third Proportional to 47,208 and 103,002
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Solution
The third proportional to 47,208 and 103,002 is: 224,737.59
Step by Step Solution
- Step 1: Write the proportion equation
47,208 : 103,002 = 103,002 : x - Step 2: Convert to fraction form
47,208/103,002 = 103,002/x - Step 3: Cross multiply
47,208x = 103,002 × 103,002 - Step 4: Simplify right side
47,208x = 10,609,412,004 - Step 5: Solve for x
x = 10,609,412,004/47,208 - Step 6: Final answer
x = 224,737.59
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.