Finding the Third Proportional to 49,226 and 105,451
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Solution
The third proportional to 49,226 and 105,451 is: 225,895.12
Step by Step Solution
- Step 1: Write the proportion equation
49,226 : 105,451 = 105,451 : x - Step 2: Convert to fraction form
49,226/105,451 = 105,451/x - Step 3: Cross multiply
49,226x = 105,451 × 105,451 - Step 4: Simplify right side
49,226x = 11,119,913,401 - Step 5: Solve for x
x = 11,119,913,401/49,226 - Step 6: Final answer
x = 225,895.12
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.