Finding the Third Proportional to 49,142 and 73,763
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Solution
The third proportional to 49,142 and 73,763 is: 110,719.55
Step by Step Solution
- Step 1: Write the proportion equation
49,142 : 73,763 = 73,763 : x - Step 2: Convert to fraction form
49,142/73,763 = 73,763/x - Step 3: Cross multiply
49,142x = 73,763 × 73,763 - Step 4: Simplify right side
49,142x = 5,440,980,169 - Step 5: Solve for x
x = 5,440,980,169/49,142 - Step 6: Final answer
x = 110,719.55
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.