Finding the Third Proportional to 105,336 and 149,049
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Solution
The third proportional to 105,336 and 149,049 is: 210,902.30
Step by Step Solution
- Step 1: Write the proportion equation
105,336 : 149,049 = 149,049 : x - Step 2: Convert to fraction form
105,336/149,049 = 149,049/x - Step 3: Cross multiply
105,336x = 149,049 × 149,049 - Step 4: Simplify right side
105,336x = 22,215,604,401 - Step 5: Solve for x
x = 22,215,604,401/105,336 - Step 6: Final answer
x = 210,902.30
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.