Finding the Third Proportional to 66,025 and 140,231
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Solution
The third proportional to 66,025 and 140,231 is: 297,837.69
Step by Step Solution
- Step 1: Write the proportion equation
66,025 : 140,231 = 140,231 : x - Step 2: Convert to fraction form
66,025/140,231 = 140,231/x - Step 3: Cross multiply
66,025x = 140,231 × 140,231 - Step 4: Simplify right side
66,025x = 19,664,733,361 - Step 5: Solve for x
x = 19,664,733,361/66,025 - Step 6: Final answer
x = 297,837.69
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.