Finding the Third Proportional to 67,014 and 103,670
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Solution
The third proportional to 67,014 and 103,670 is: 160,376.47
Step by Step Solution
- Step 1: Write the proportion equation
67,014 : 103,670 = 103,670 : x - Step 2: Convert to fraction form
67,014/103,670 = 103,670/x - Step 3: Cross multiply
67,014x = 103,670 × 103,670 - Step 4: Simplify right side
67,014x = 10,747,468,900 - Step 5: Solve for x
x = 10,747,468,900/67,014 - Step 6: Final answer
x = 160,376.47
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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.