Finding the Third Proportional to 65,733 and 143,904
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Solution
The third proportional to 65,733 and 143,904 is: 315,037.52
Step by Step Solution
- Step 1: Write the proportion equation
65,733 : 143,904 = 143,904 : x - Step 2: Convert to fraction form
65,733/143,904 = 143,904/x - Step 3: Cross multiply
65,733x = 143,904 × 143,904 - Step 4: Simplify right side
65,733x = 20,708,361,216 - Step 5: Solve for x
x = 20,708,361,216/65,733 - Step 6: Final answer
x = 315,037.52
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.