Finding the Third Proportional to 67,162 and 102,850
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Solution
The third proportional to 67,162 and 102,850 is: 157,501.60
Step by Step Solution
- Step 1: Write the proportion equation
67,162 : 102,850 = 102,850 : x - Step 2: Convert to fraction form
67,162/102,850 = 102,850/x - Step 3: Cross multiply
67,162x = 102,850 × 102,850 - Step 4: Simplify right side
67,162x = 10,578,122,500 - Step 5: Solve for x
x = 10,578,122,500/67,162 - Step 6: Final answer
x = 157,501.60
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.