Finding the Third Proportional to 54,411.75 and 113,742
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Solution
The third proportional to 54,411.75 and 113,742 is: 237,765.60
Step by Step Solution
- Step 1: Write the proportion equation
54,411.75 : 113,742 = 113,742 : x - Step 2: Convert to fraction form
54,411.75/113,742 = 113,742/x - Step 3: Cross multiply
54,411.75x = 113,742 × 113,742 - Step 4: Simplify right side
54,411.75x = 12,937,242,564 - Step 5: Solve for x
x = 12,937,242,564/54,411.75 - Step 6: Final answer
x = 237,765.60
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.