Finding the Third Proportional to 67,012 and 103,830
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Solution
The third proportional to 67,012 and 103,830 is: 160,876.69
Step by Step Solution
- Step 1: Write the proportion equation
67,012 : 103,830 = 103,830 : x - Step 2: Convert to fraction form
67,012/103,830 = 103,830/x - Step 3: Cross multiply
67,012x = 103,830 × 103,830 - Step 4: Simplify right side
67,012x = 10,780,668,900 - Step 5: Solve for x
x = 10,780,668,900/67,012 - Step 6: Final answer
x = 160,876.69
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.