Finding the Third Proportional to 75,202.50 and 100,242
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Solution
The third proportional to 75,202.50 and 100,242 is: 133,618.68
Step by Step Solution
- Step 1: Write the proportion equation
75,202.50 : 100,242 = 100,242 : x - Step 2: Convert to fraction form
75,202.50/100,242 = 100,242/x - Step 3: Cross multiply
75,202.50x = 100,242 × 100,242 - Step 4: Simplify right side
75,202.50x = 10,048,458,564 - Step 5: Solve for x
x = 10,048,458,564/75,202.50 - Step 6: Final answer
x = 133,618.68
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.