Finding the Third Proportional to 68,130 and 105,738
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Solution
The third proportional to 68,130 and 105,738 is: 164,105.75
Step by Step Solution
- Step 1: Write the proportion equation
68,130 : 105,738 = 105,738 : x - Step 2: Convert to fraction form
68,130/105,738 = 105,738/x - Step 3: Cross multiply
68,130x = 105,738 × 105,738 - Step 4: Simplify right side
68,130x = 11,180,524,644 - Step 5: Solve for x
x = 11,180,524,644/68,130 - Step 6: Final answer
x = 164,105.75
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.