Finding the Third Proportional to 51,222 and 111,420
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Solution
The third proportional to 51,222 and 111,420 is: 242,364.93
Step by Step Solution
- Step 1: Write the proportion equation
51,222 : 111,420 = 111,420 : x - Step 2: Convert to fraction form
51,222/111,420 = 111,420/x - Step 3: Cross multiply
51,222x = 111,420 × 111,420 - Step 4: Simplify right side
51,222x = 12,414,416,400 - Step 5: Solve for x
x = 12,414,416,400/51,222 - Step 6: Final answer
x = 242,364.93
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.