Finding the Third Proportional to 71,154 and 111,615
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Solution
The third proportional to 71,154 and 111,615 is: 175,083.74
Step by Step Solution
- Step 1: Write the proportion equation
71,154 : 111,615 = 111,615 : x - Step 2: Convert to fraction form
71,154/111,615 = 111,615/x - Step 3: Cross multiply
71,154x = 111,615 × 111,615 - Step 4: Simplify right side
71,154x = 12,457,908,225 - Step 5: Solve for x
x = 12,457,908,225/71,154 - Step 6: Final answer
x = 175,083.74
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.