Finding the Third Proportional to 80,743.50 and 172,530
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Solution
The third proportional to 80,743.50 and 172,530 is: 368,656.31
Step by Step Solution
- Step 1: Write the proportion equation
80,743.50 : 172,530 = 172,530 : x - Step 2: Convert to fraction form
80,743.50/172,530 = 172,530/x - Step 3: Cross multiply
80,743.50x = 172,530 × 172,530 - Step 4: Simplify right side
80,743.50x = 29,766,600,900 - Step 5: Solve for x
x = 29,766,600,900/80,743.50 - Step 6: Final answer
x = 368,656.31
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.