Finding the Third Proportional to 65,832 and 106,944
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Solution
The third proportional to 65,832 and 106,944 is: 173,730.39
Step by Step Solution
- Step 1: Write the proportion equation
65,832 : 106,944 = 106,944 : x - Step 2: Convert to fraction form
65,832/106,944 = 106,944/x - Step 3: Cross multiply
65,832x = 106,944 × 106,944 - Step 4: Simplify right side
65,832x = 11,437,019,136 - Step 5: Solve for x
x = 11,437,019,136/65,832 - Step 6: Final answer
x = 173,730.39
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Why These Related Problems?
These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.