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Finding the Third Proportional to 50,928 and 76,488

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Solution

The third proportional to 50,928 and 76,488 is: 114,876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,928 : 76,488 = 76,488 : x
  2. Step 2: Convert to fraction form
    50,928/76,488 = 76,488/x
  3. Step 3: Cross multiply
    50,928x = 76,488 × 76,488
  4. Step 4: Simplify right side
    50,928x = 5,850,414,144
  5. Step 5: Solve for x
    x = 5,850,414,144/50,928
  6. Step 6: Final answer
    x = 114,876.18

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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.