Finding the Third Proportional to 81,681 and 179,916
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Solution
The third proportional to 81,681 and 179,916 is: 396,294.94
Step by Step Solution
- Step 1: Write the proportion equation
81,681 : 179,916 = 179,916 : x - Step 2: Convert to fraction form
81,681/179,916 = 179,916/x - Step 3: Cross multiply
81,681x = 179,916 × 179,916 - Step 4: Simplify right side
81,681x = 32,369,767,056 - Step 5: Solve for x
x = 32,369,767,056/81,681 - Step 6: Final answer
x = 396,294.94
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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.