Finding the Third Proportional to 54,648 and 81,972
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Solution
The third proportional to 54,648 and 81,972 is: 122,958
Step by Step Solution
- Step 1: Write the proportion equation
54,648 : 81,972 = 81,972 : x - Step 2: Convert to fraction form
54,648/81,972 = 81,972/x - Step 3: Cross multiply
54,648x = 81,972 × 81,972 - Step 4: Simplify right side
54,648x = 6,719,408,784 - Step 5: Solve for x
x = 6,719,408,784/54,648 - Step 6: Final answer
x = 122,958
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.