Finding the Third Proportional to 46,142 and 70,736
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Solution
The third proportional to 46,142 and 70,736 is: 108,438.77
Step by Step Solution
- Step 1: Write the proportion equation
46,142 : 70,736 = 70,736 : x - Step 2: Convert to fraction form
46,142/70,736 = 70,736/x - Step 3: Cross multiply
46,142x = 70,736 × 70,736 - Step 4: Simplify right side
46,142x = 5,003,581,696 - Step 5: Solve for x
x = 5,003,581,696/46,142 - Step 6: Final answer
x = 108,438.77
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.