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Finding the Third Proportional to 50,932 and 76,494

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Solution

The third proportional to 50,932 and 76,494 is: 114,885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,932 : 76,494 = 76,494 : x
  2. Step 2: Convert to fraction form
    50,932/76,494 = 76,494/x
  3. Step 3: Cross multiply
    50,932x = 76,494 × 76,494
  4. Step 4: Simplify right side
    50,932x = 5,851,332,036
  5. Step 5: Solve for x
    x = 5,851,332,036/50,932
  6. Step 6: Final answer
    x = 114,885.18

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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.