Finding the Third Proportional to 110,416 and 174,912
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Solution
The third proportional to 110,416 and 174,912 is: 277,081.29
Step by Step Solution
- Step 1: Write the proportion equation
110,416 : 174,912 = 174,912 : x - Step 2: Convert to fraction form
110,416/174,912 = 174,912/x - Step 3: Cross multiply
110,416x = 174,912 × 174,912 - Step 4: Simplify right side
110,416x = 30,594,207,744 - Step 5: Solve for x
x = 30,594,207,744/110,416 - Step 6: Final answer
x = 277,081.29
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.