Finding the Third Proportional to 42,297 and 100,203.75
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Solution
The third proportional to 42,297 and 100,203.75 is: 237,387.79
Step by Step Solution
- Step 1: Write the proportion equation
42,297 : 100,203.75 = 100,203.75 : x - Step 2: Convert to fraction form
42,297/100,203.75 = 100,203.75/x - Step 3: Cross multiply
42,297x = 100,203.75 × 100,203.75 - Step 4: Simplify right side
42,297x = 10,040,791,514.06 - Step 5: Solve for x
x = 10,040,791,514.06/42,297 - Step 6: Final answer
x = 237,387.79
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Why These Related Problems?
These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.