Finding the Third Proportional to 73,856 and 103,632
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Solution
The third proportional to 73,856 and 103,632 is: 145,412.58
Step by Step Solution
- Step 1: Write the proportion equation
73,856 : 103,632 = 103,632 : x - Step 2: Convert to fraction form
73,856/103,632 = 103,632/x - Step 3: Cross multiply
73,856x = 103,632 × 103,632 - Step 4: Simplify right side
73,856x = 10,739,591,424 - Step 5: Solve for x
x = 10,739,591,424/73,856 - Step 6: Final answer
x = 145,412.58
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.