Finding the Third Proportional to 67,314 and 105,602
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Solution
The third proportional to 67,314 and 105,602 is: 165,668.10
Step by Step Solution
- Step 1: Write the proportion equation
67,314 : 105,602 = 105,602 : x - Step 2: Convert to fraction form
67,314/105,602 = 105,602/x - Step 3: Cross multiply
67,314x = 105,602 × 105,602 - Step 4: Simplify right side
67,314x = 11,151,782,404 - Step 5: Solve for x
x = 11,151,782,404/67,314 - Step 6: Final answer
x = 165,668.10
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.