Finding the Third Proportional to 49,855.50 and 105,705
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Solution
The third proportional to 49,855.50 and 105,705 is: 224,118.64
Step by Step Solution
- Step 1: Write the proportion equation
49,855.50 : 105,705 = 105,705 : x - Step 2: Convert to fraction form
49,855.50/105,705 = 105,705/x - Step 3: Cross multiply
49,855.50x = 105,705 × 105,705 - Step 4: Simplify right side
49,855.50x = 11,173,547,025 - Step 5: Solve for x
x = 11,173,547,025/49,855.50 - Step 6: Final answer
x = 224,118.64
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.