Finding the Third Proportional to 105,714 and 143,991
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Solution
The third proportional to 105,714 and 143,991 is: 196,127.36
Step by Step Solution
- Step 1: Write the proportion equation
105,714 : 143,991 = 143,991 : x - Step 2: Convert to fraction form
105,714/143,991 = 143,991/x - Step 3: Cross multiply
105,714x = 143,991 × 143,991 - Step 4: Simplify right side
105,714x = 20,733,408,081 - Step 5: Solve for x
x = 20,733,408,081/105,714 - Step 6: Final answer
x = 196,127.36
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.