Finding the Third Proportional to 129,105 and 189,846
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Solution
The third proportional to 129,105 and 189,846 is: 279,164.27
Step by Step Solution
- Step 1: Write the proportion equation
129,105 : 189,846 = 189,846 : x - Step 2: Convert to fraction form
129,105/189,846 = 189,846/x - Step 3: Cross multiply
129,105x = 189,846 × 189,846 - Step 4: Simplify right side
129,105x = 36,041,503,716 - Step 5: Solve for x
x = 36,041,503,716/129,105 - Step 6: Final answer
x = 279,164.27
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.