Finding the Third Proportional to 75,357.75 and 102,624.75
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Solution
The third proportional to 75,357.75 and 102,624.75 is: 139,757.88
Step by Step Solution
- Step 1: Write the proportion equation
75,357.75 : 102,624.75 = 102,624.75 : x - Step 2: Convert to fraction form
75,357.75/102,624.75 = 102,624.75/x - Step 3: Cross multiply
75,357.75x = 102,624.75 × 102,624.75 - Step 4: Simplify right side
75,357.75x = 10,531,839,312.56 - Step 5: Solve for x
x = 10,531,839,312.56/75,357.75 - Step 6: Final answer
x = 139,757.88
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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.