Finding the Third Proportional to 47,057 and 103,444
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Solution
The third proportional to 47,057 and 103,444 is: 227,397.86
Step by Step Solution
- Step 1: Write the proportion equation
47,057 : 103,444 = 103,444 : x - Step 2: Convert to fraction form
47,057/103,444 = 103,444/x - Step 3: Cross multiply
47,057x = 103,444 × 103,444 - Step 4: Simplify right side
47,057x = 10,700,661,136 - Step 5: Solve for x
x = 10,700,661,136/47,057 - Step 6: Final answer
x = 227,397.86
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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.