Finding the Third Proportional to 81,120 and 178,224
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Solution
The third proportional to 81,120 and 178,224 is: 391,565.51
Step by Step Solution
- Step 1: Write the proportion equation
81,120 : 178,224 = 178,224 : x - Step 2: Convert to fraction form
81,120/178,224 = 178,224/x - Step 3: Cross multiply
81,120x = 178,224 × 178,224 - Step 4: Simplify right side
81,120x = 31,763,794,176 - Step 5: Solve for x
x = 31,763,794,176/81,120 - Step 6: Final answer
x = 391,565.51
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.