Finding the Third Proportional to 71,738 and 105,303
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Solution
The third proportional to 71,738 and 105,303 is: 154,572.50
Step by Step Solution
- Step 1: Write the proportion equation
71,738 : 105,303 = 105,303 : x - Step 2: Convert to fraction form
71,738/105,303 = 105,303/x - Step 3: Cross multiply
71,738x = 105,303 × 105,303 - Step 4: Simplify right side
71,738x = 11,088,721,809 - Step 5: Solve for x
x = 11,088,721,809/71,738 - Step 6: Final answer
x = 154,572.50
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.