Finding the Third Proportional to 75,704.63 and 102,857.34
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Solution
The third proportional to 75,704.63 and 102,857.34 is: 139,748.84
Step by Step Solution
- Step 1: Write the proportion equation
75,704.63 : 102,857.34 = 102,857.34 : x - Step 2: Convert to fraction form
75,704.63/102,857.34 = 102,857.34/x - Step 3: Cross multiply
75,704.63x = 102,857.34 × 102,857.34 - Step 4: Simplify right side
75,704.63x = 10,579,633,163.31 - Step 5: Solve for x
x = 10,579,633,163.31/75,704.63 - Step 6: Final answer
x = 139,748.84
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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.