Finding the Third Proportional to 78,463 and 100,744
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Solution
The third proportional to 78,463 and 100,744 is: 129,352.10
Step by Step Solution
- Step 1: Write the proportion equation
78,463 : 100,744 = 100,744 : x - Step 2: Convert to fraction form
78,463/100,744 = 100,744/x - Step 3: Cross multiply
78,463x = 100,744 × 100,744 - Step 4: Simplify right side
78,463x = 10,149,353,536 - Step 5: Solve for x
x = 10,149,353,536/78,463 - Step 6: Final answer
x = 129,352.10
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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.