Finding the Third Proportional to 67,416 and 101,970
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Solution
The third proportional to 67,416 and 101,970 is: 154,234.62
Step by Step Solution
- Step 1: Write the proportion equation
67,416 : 101,970 = 101,970 : x - Step 2: Convert to fraction form
67,416/101,970 = 101,970/x - Step 3: Cross multiply
67,416x = 101,970 × 101,970 - Step 4: Simplify right side
67,416x = 10,397,880,900 - Step 5: Solve for x
x = 10,397,880,900/67,416 - Step 6: Final answer
x = 154,234.62
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.