Finding the Third Proportional to 47,057 and 103,443
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Solution
The third proportional to 47,057 and 103,443 is: 227,393.46
Step by Step Solution
- Step 1: Write the proportion equation
47,057 : 103,443 = 103,443 : x - Step 2: Convert to fraction form
47,057/103,443 = 103,443/x - Step 3: Cross multiply
47,057x = 103,443 × 103,443 - Step 4: Simplify right side
47,057x = 10,700,454,249 - Step 5: Solve for x
x = 10,700,454,249/47,057 - Step 6: Final answer
x = 227,393.46
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.