Finding the Third Proportional to 72,922 and 114,245
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Solution
The third proportional to 72,922 and 114,245 is: 178,984.67
Step by Step Solution
- Step 1: Write the proportion equation
72,922 : 114,245 = 114,245 : x - Step 2: Convert to fraction form
72,922/114,245 = 114,245/x - Step 3: Cross multiply
72,922x = 114,245 × 114,245 - Step 4: Simplify right side
72,922x = 13,051,920,025 - Step 5: Solve for x
x = 13,051,920,025/72,922 - Step 6: Final answer
x = 178,984.67
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.