Finding the Third Proportional to 67,306 and 145,757
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Solution
The third proportional to 67,306 and 145,757 is: 315,649.47
Step by Step Solution
- Step 1: Write the proportion equation
67,306 : 145,757 = 145,757 : x - Step 2: Convert to fraction form
67,306/145,757 = 145,757/x - Step 3: Cross multiply
67,306x = 145,757 × 145,757 - Step 4: Simplify right side
67,306x = 21,245,103,049 - Step 5: Solve for x
x = 21,245,103,049/67,306 - Step 6: Final answer
x = 315,649.47
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.