Finding the Third Proportional to 111,700 and 146,814
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Solution
The third proportional to 111,700 and 146,814 is: 192,966.43
Step by Step Solution
- Step 1: Write the proportion equation
111,700 : 146,814 = 146,814 : x - Step 2: Convert to fraction form
111,700/146,814 = 146,814/x - Step 3: Cross multiply
111,700x = 146,814 × 146,814 - Step 4: Simplify right side
111,700x = 21,554,350,596 - Step 5: Solve for x
x = 21,554,350,596/111,700 - Step 6: Final answer
x = 192,966.43
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Why These Related Problems?
These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.