Finding the Third Proportional to 106,474 and 159,714
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Solution
The third proportional to 106,474 and 159,714 is: 239,575.50
Step by Step Solution
- Step 1: Write the proportion equation
106,474 : 159,714 = 159,714 : x - Step 2: Convert to fraction form
106,474/159,714 = 159,714/x - Step 3: Cross multiply
106,474x = 159,714 × 159,714 - Step 4: Simplify right side
106,474x = 25,508,561,796 - Step 5: Solve for x
x = 25,508,561,796/106,474 - Step 6: Final answer
x = 239,575.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.