Finding the Third Proportional to 69,733 and 143,142
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Solution
The third proportional to 69,733 and 143,142 is: 293,829.78
Step by Step Solution
- Step 1: Write the proportion equation
69,733 : 143,142 = 143,142 : x - Step 2: Convert to fraction form
69,733/143,142 = 143,142/x - Step 3: Cross multiply
69,733x = 143,142 × 143,142 - Step 4: Simplify right side
69,733x = 20,489,632,164 - Step 5: Solve for x
x = 20,489,632,164/69,733 - Step 6: Final answer
x = 293,829.78
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.