Finding the Third Proportional to 129,697.50 and 193,722
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Solution
The third proportional to 129,697.50 and 193,722 is: 289,351.86
Step by Step Solution
- Step 1: Write the proportion equation
129,697.50 : 193,722 = 193,722 : x - Step 2: Convert to fraction form
129,697.50/193,722 = 193,722/x - Step 3: Cross multiply
129,697.50x = 193,722 × 193,722 - Step 4: Simplify right side
129,697.50x = 37,528,213,284 - Step 5: Solve for x
x = 37,528,213,284/129,697.50 - Step 6: Final answer
x = 289,351.86
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.