Finding the Third Proportional to 45,107 and 102,021.75
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Solution
The third proportional to 45,107 and 102,021.75 is: 230,749.94
Step by Step Solution
- Step 1: Write the proportion equation
45,107 : 102,021.75 = 102,021.75 : x - Step 2: Convert to fraction form
45,107/102,021.75 = 102,021.75/x - Step 3: Cross multiply
45,107x = 102,021.75 × 102,021.75 - Step 4: Simplify right side
45,107x = 10,408,437,473.06 - Step 5: Solve for x
x = 10,408,437,473.06/45,107 - Step 6: Final answer
x = 230,749.94
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.