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Finding the Third Proportional to 49,848 and 76,068

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Solution

The third proportional to 49,848 and 76,068 is: 116,079.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,848 : 76,068 = 76,068 : x
  2. Step 2: Convert to fraction form
    49,848/76,068 = 76,068/x
  3. Step 3: Cross multiply
    49,848x = 76,068 × 76,068
  4. Step 4: Simplify right side
    49,848x = 5,786,340,624
  5. Step 5: Solve for x
    x = 5,786,340,624/49,848
  6. Step 6: Final answer
    x = 116,079.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.