Finding the Third Proportional to 78,420 and 161,000
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Solution
The third proportional to 78,420 and 161,000 is: 330,540.68
Step by Step Solution
- Step 1: Write the proportion equation
78,420 : 161,000 = 161,000 : x - Step 2: Convert to fraction form
78,420/161,000 = 161,000/x - Step 3: Cross multiply
78,420x = 161,000 × 161,000 - Step 4: Simplify right side
78,420x = 25,921,000,000 - Step 5: Solve for x
x = 25,921,000,000/78,420 - Step 6: Final answer
x = 330,540.68
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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.