Finding the Third Proportional to 96,692 and 205,000
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Solution
The third proportional to 96,692 and 205,000 is: 434,627.48
Step by Step Solution
- Step 1: Write the proportion equation
96,692 : 205,000 = 205,000 : x - Step 2: Convert to fraction form
96,692/205,000 = 205,000/x - Step 3: Cross multiply
96,692x = 205,000 × 205,000 - Step 4: Simplify right side
96,692x = 42,025,000,000 - Step 5: Solve for x
x = 42,025,000,000/96,692 - Step 6: Final answer
x = 434,627.48
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.