Finding the Third Proportional to 112,538 and 178,203
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Solution
The third proportional to 112,538 and 178,203 is: 282,182.99
Step by Step Solution
- Step 1: Write the proportion equation
112,538 : 178,203 = 178,203 : x - Step 2: Convert to fraction form
112,538/178,203 = 178,203/x - Step 3: Cross multiply
112,538x = 178,203 × 178,203 - Step 4: Simplify right side
112,538x = 31,756,309,209 - Step 5: Solve for x
x = 31,756,309,209/112,538 - Step 6: Final answer
x = 282,182.99
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.