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Finding the Third Proportional to 51,828 and 111,028

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Solution

The third proportional to 51,828 and 111,028 is: 237,848.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,828 : 111,028 = 111,028 : x
  2. Step 2: Convert to fraction form
    51,828/111,028 = 111,028/x
  3. Step 3: Cross multiply
    51,828x = 111,028 × 111,028
  4. Step 4: Simplify right side
    51,828x = 12,327,216,784
  5. Step 5: Solve for x
    x = 12,327,216,784/51,828
  6. Step 6: Final answer
    x = 237,848.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.