Finding the Third Proportional to 122,000 and 194,799
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Solution
The third proportional to 122,000 and 194,799 is: 311,038.12
Step by Step Solution
- Step 1: Write the proportion equation
122,000 : 194,799 = 194,799 : x - Step 2: Convert to fraction form
122,000/194,799 = 194,799/x - Step 3: Cross multiply
122,000x = 194,799 × 194,799 - Step 4: Simplify right side
122,000x = 37,946,650,401 - Step 5: Solve for x
x = 37,946,650,401/122,000 - Step 6: Final answer
x = 311,038.12
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.