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Finding the Third Proportional to 80,932 and 122,491

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Solution

The third proportional to 80,932 and 122,491 is: 185,390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,932 : 122,491 = 122,491 : x
  2. Step 2: Convert to fraction form
    80,932/122,491 = 122,491/x
  3. Step 3: Cross multiply
    80,932x = 122,491 × 122,491
  4. Step 4: Simplify right side
    80,932x = 15,004,045,081
  5. Step 5: Solve for x
    x = 15,004,045,081/80,932
  6. Step 6: Final answer
    x = 185,390.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.