Finding the Third Proportional to 49,042 and 75,142
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Solution
The third proportional to 49,042 and 75,142 is: 115,132.34
Step by Step Solution
- Step 1: Write the proportion equation
49,042 : 75,142 = 75,142 : x - Step 2: Convert to fraction form
49,042/75,142 = 75,142/x - Step 3: Cross multiply
49,042x = 75,142 × 75,142 - Step 4: Simplify right side
49,042x = 5,646,320,164 - Step 5: Solve for x
x = 5,646,320,164/49,042 - Step 6: Final answer
x = 115,132.34
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.