Finding the Third Proportional to 105,042 and 224,850
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Solution
The third proportional to 105,042 and 224,850 is: 481,307.69
Step by Step Solution
- Step 1: Write the proportion equation
105,042 : 224,850 = 224,850 : x - Step 2: Convert to fraction form
105,042/224,850 = 224,850/x - Step 3: Cross multiply
105,042x = 224,850 × 224,850 - Step 4: Simplify right side
105,042x = 50,557,522,500 - Step 5: Solve for x
x = 50,557,522,500/105,042 - Step 6: Final answer
x = 481,307.69
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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.