Finding the Third Proportional to 75,962 and 122,043
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Solution
The third proportional to 75,962 and 122,043 is: 196,078.22
Step by Step Solution
- Step 1: Write the proportion equation
75,962 : 122,043 = 122,043 : x - Step 2: Convert to fraction form
75,962/122,043 = 122,043/x - Step 3: Cross multiply
75,962x = 122,043 × 122,043 - Step 4: Simplify right side
75,962x = 14,894,493,849 - Step 5: Solve for x
x = 14,894,493,849/75,962 - Step 6: Final answer
x = 196,078.22
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.