Finding the Third Proportional to 52,002 and 83,745
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Solution
The third proportional to 52,002 and 83,745 is: 134,864.52
Step by Step Solution
- Step 1: Write the proportion equation
52,002 : 83,745 = 83,745 : x - Step 2: Convert to fraction form
52,002/83,745 = 83,745/x - Step 3: Cross multiply
52,002x = 83,745 × 83,745 - Step 4: Simplify right side
52,002x = 7,013,225,025 - Step 5: Solve for x
x = 7,013,225,025/52,002 - Step 6: Final answer
x = 134,864.52
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.