Finding the Third Proportional to 81,811.69 and 171,072
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Solution
The third proportional to 81,811.69 and 171,072 is: 357,719.42
Step by Step Solution
- Step 1: Write the proportion equation
81,811.69 : 171,072 = 171,072 : x - Step 2: Convert to fraction form
81,811.69/171,072 = 171,072/x - Step 3: Cross multiply
81,811.69x = 171,072 × 171,072 - Step 4: Simplify right side
81,811.69x = 29,265,629,184 - Step 5: Solve for x
x = 29,265,629,184/81,811.69 - Step 6: Final answer
x = 357,719.42
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.