Finding the Third Proportional to 47,176 and 102,536
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Solution
The third proportional to 47,176 and 102,536 is: 222,859.74
Step by Step Solution
- Step 1: Write the proportion equation
47,176 : 102,536 = 102,536 : x - Step 2: Convert to fraction form
47,176/102,536 = 102,536/x - Step 3: Cross multiply
47,176x = 102,536 × 102,536 - Step 4: Simplify right side
47,176x = 10,513,631,296 - Step 5: Solve for x
x = 10,513,631,296/47,176 - Step 6: Final answer
x = 222,859.74
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.