Finding the Third Proportional to 49,920 and 106,656
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Solution
The third proportional to 49,920 and 106,656 is: 227,874.65
Step by Step Solution
- Step 1: Write the proportion equation
49,920 : 106,656 = 106,656 : x - Step 2: Convert to fraction form
49,920/106,656 = 106,656/x - Step 3: Cross multiply
49,920x = 106,656 × 106,656 - Step 4: Simplify right side
49,920x = 11,375,502,336 - Step 5: Solve for x
x = 11,375,502,336/49,920 - Step 6: Final answer
x = 227,874.65
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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.