Finding the Third Proportional to 50,956 and 77,203.50
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Solution
The third proportional to 50,956 and 77,203.50 is: 116,971.12
Step by Step Solution
- Step 1: Write the proportion equation
50,956 : 77,203.50 = 77,203.50 : x - Step 2: Convert to fraction form
50,956/77,203.50 = 77,203.50/x - Step 3: Cross multiply
50,956x = 77,203.50 × 77,203.50 - Step 4: Simplify right side
50,956x = 5,960,380,412.25 - Step 5: Solve for x
x = 5,960,380,412.25/50,956 - Step 6: Final answer
x = 116,971.12
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.