Finding the Third Proportional to 45,710 and 101,923
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Solution
The third proportional to 45,710 and 101,923 is: 227,265.32
Step by Step Solution
- Step 1: Write the proportion equation
45,710 : 101,923 = 101,923 : x - Step 2: Convert to fraction form
45,710/101,923 = 101,923/x - Step 3: Cross multiply
45,710x = 101,923 × 101,923 - Step 4: Simplify right side
45,710x = 10,388,297,929 - Step 5: Solve for x
x = 10,388,297,929/45,710 - Step 6: Final answer
x = 227,265.32
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.