Finding the Third Proportional to 55,285 and 83,205
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Solution
The third proportional to 55,285 and 83,205 is: 125,225.14
Step by Step Solution
- Step 1: Write the proportion equation
55,285 : 83,205 = 83,205 : x - Step 2: Convert to fraction form
55,285/83,205 = 83,205/x - Step 3: Cross multiply
55,285x = 83,205 × 83,205 - Step 4: Simplify right side
55,285x = 6,923,072,025 - Step 5: Solve for x
x = 6,923,072,025/55,285 - Step 6: Final answer
x = 125,225.14
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.