Finding the Third Proportional to 55,762 and 114,242
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Solution
The third proportional to 55,762 and 114,242 is: 234,052.48
Step by Step Solution
- Step 1: Write the proportion equation
55,762 : 114,242 = 114,242 : x - Step 2: Convert to fraction form
55,762/114,242 = 114,242/x - Step 3: Cross multiply
55,762x = 114,242 × 114,242 - Step 4: Simplify right side
55,762x = 13,051,234,564 - Step 5: Solve for x
x = 13,051,234,564/55,762 - Step 6: Final answer
x = 234,052.48
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.