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Finding the Third Proportional to 51,424 and 110,976

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Solution

The third proportional to 51,424 and 110,976 is: 239,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,424 : 110,976 = 110,976 : x
  2. Step 2: Convert to fraction form
    51,424/110,976 = 110,976/x
  3. Step 3: Cross multiply
    51,424x = 110,976 × 110,976
  4. Step 4: Simplify right side
    51,424x = 12,315,672,576
  5. Step 5: Solve for x
    x = 12,315,672,576/51,424
  6. Step 6: Final answer
    x = 239,492.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.