Finding the Third Proportional to 42,192 and 90,630
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Solution
The third proportional to 42,192 and 90,630 is: 194,676.64
Step by Step Solution
- Step 1: Write the proportion equation
42,192 : 90,630 = 90,630 : x - Step 2: Convert to fraction form
42,192/90,630 = 90,630/x - Step 3: Cross multiply
42,192x = 90,630 × 90,630 - Step 4: Simplify right side
42,192x = 8,213,796,900 - Step 5: Solve for x
x = 8,213,796,900/42,192 - Step 6: Final answer
x = 194,676.64
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.