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Finding the Third Proportional to 51,932 and 112,976

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Solution

The third proportional to 51,932 and 112,976 is: 245,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,932 : 112,976 = 112,976 : x
  2. Step 2: Convert to fraction form
    51,932/112,976 = 112,976/x
  3. Step 3: Cross multiply
    51,932x = 112,976 × 112,976
  4. Step 4: Simplify right side
    51,932x = 12,763,576,576
  5. Step 5: Solve for x
    x = 12,763,576,576/51,932
  6. Step 6: Final answer
    x = 245,774.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.