Finding the Third Proportional to 67,567.50 and 105,992
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Solution
The third proportional to 67,567.50 and 105,992 is: 166,267.87
Step by Step Solution
- Step 1: Write the proportion equation
67,567.50 : 105,992 = 105,992 : x - Step 2: Convert to fraction form
67,567.50/105,992 = 105,992/x - Step 3: Cross multiply
67,567.50x = 105,992 × 105,992 - Step 4: Simplify right side
67,567.50x = 11,234,304,064 - Step 5: Solve for x
x = 11,234,304,064/67,567.50 - Step 6: Final answer
x = 166,267.87
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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.