Finding the Third Proportional to 57,830 and 90,738
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Solution
The third proportional to 57,830 and 90,738 is: 142,372.21
Step by Step Solution
- Step 1: Write the proportion equation
57,830 : 90,738 = 90,738 : x - Step 2: Convert to fraction form
57,830/90,738 = 90,738/x - Step 3: Cross multiply
57,830x = 90,738 × 90,738 - Step 4: Simplify right side
57,830x = 8,233,384,644 - Step 5: Solve for x
x = 8,233,384,644/57,830 - Step 6: Final answer
x = 142,372.21
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.