Finding the Third Proportional to 105,676 and 165,000
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Solution
The third proportional to 105,676 and 165,000 is: 257,627.09
Step by Step Solution
- Step 1: Write the proportion equation
105,676 : 165,000 = 165,000 : x - Step 2: Convert to fraction form
105,676/165,000 = 165,000/x - Step 3: Cross multiply
105,676x = 165,000 × 165,000 - Step 4: Simplify right side
105,676x = 27,225,000,000 - Step 5: Solve for x
x = 27,225,000,000/105,676 - Step 6: Final answer
x = 257,627.09
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.