Finding the Third Proportional to 51,106 and 111,212
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Solution
The third proportional to 51,106 and 111,212 is: 242,008.94
Step by Step Solution
- Step 1: Write the proportion equation
51,106 : 111,212 = 111,212 : x - Step 2: Convert to fraction form
51,106/111,212 = 111,212/x - Step 3: Cross multiply
51,106x = 111,212 × 111,212 - Step 4: Simplify right side
51,106x = 12,368,108,944 - Step 5: Solve for x
x = 12,368,108,944/51,106 - Step 6: Final answer
x = 242,008.94
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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.