Finding the Third Proportional to 105,105.50 and 151,097
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Solution
The third proportional to 105,105.50 and 151,097 is: 217,213.21
Step by Step Solution
- Step 1: Write the proportion equation
105,105.50 : 151,097 = 151,097 : x - Step 2: Convert to fraction form
105,105.50/151,097 = 151,097/x - Step 3: Cross multiply
105,105.50x = 151,097 × 151,097 - Step 4: Simplify right side
105,105.50x = 22,830,303,409 - Step 5: Solve for x
x = 22,830,303,409/105,105.50 - Step 6: Final answer
x = 217,213.21
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.