Finding the Third Proportional to 67,750 and 105,500
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Solution
The third proportional to 67,750 and 105,500 is: 164,284.13
Step by Step Solution
- Step 1: Write the proportion equation
67,750 : 105,500 = 105,500 : x - Step 2: Convert to fraction form
67,750/105,500 = 105,500/x - Step 3: Cross multiply
67,750x = 105,500 × 105,500 - Step 4: Simplify right side
67,750x = 11,130,250,000 - Step 5: Solve for x
x = 11,130,250,000/67,750 - Step 6: Final answer
x = 164,284.13
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.