Finding the Third Proportional to 142,380 and 193,068
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Solution
The third proportional to 142,380 and 193,068 is: 261,801.18
Step by Step Solution
- Step 1: Write the proportion equation
142,380 : 193,068 = 193,068 : x - Step 2: Convert to fraction form
142,380/193,068 = 193,068/x - Step 3: Cross multiply
142,380x = 193,068 × 193,068 - Step 4: Simplify right side
142,380x = 37,275,252,624 - Step 5: Solve for x
x = 37,275,252,624/142,380 - Step 6: Final answer
x = 261,801.18
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.