Finding the Third Proportional to 83,225 and 117,761
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Solution
The third proportional to 83,225 and 117,761 is: 166,628.45
Step by Step Solution
- Step 1: Write the proportion equation
83,225 : 117,761 = 117,761 : x - Step 2: Convert to fraction form
83,225/117,761 = 117,761/x - Step 3: Cross multiply
83,225x = 117,761 × 117,761 - Step 4: Simplify right side
83,225x = 13,867,653,121 - Step 5: Solve for x
x = 13,867,653,121/83,225 - Step 6: Final answer
x = 166,628.45
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.