Finding the Third Proportional to 47,780 and 102,602
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Solution
The third proportional to 47,780 and 102,602 is: 220,325.88
Step by Step Solution
- Step 1: Write the proportion equation
47,780 : 102,602 = 102,602 : x - Step 2: Convert to fraction form
47,780/102,602 = 102,602/x - Step 3: Cross multiply
47,780x = 102,602 × 102,602 - Step 4: Simplify right side
47,780x = 10,527,170,404 - Step 5: Solve for x
x = 10,527,170,404/47,780 - Step 6: Final answer
x = 220,325.88
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.