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Finding the Third Proportional to 48,296 and 76,848

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Solution

The third proportional to 48,296 and 76,848 is: 122,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,296 : 76,848 = 76,848 : x
  2. Step 2: Convert to fraction form
    48,296/76,848 = 76,848/x
  3. Step 3: Cross multiply
    48,296x = 76,848 × 76,848
  4. Step 4: Simplify right side
    48,296x = 5,905,615,104
  5. Step 5: Solve for x
    x = 5,905,615,104/48,296
  6. Step 6: Final answer
    x = 122,279.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.