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Finding the Third Proportional to 51,828 and 111,032

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Solution

The third proportional to 51,828 and 111,032 is: 237,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,828 : 111,032 = 111,032 : x
  2. Step 2: Convert to fraction form
    51,828/111,032 = 111,032/x
  3. Step 3: Cross multiply
    51,828x = 111,032 × 111,032
  4. Step 4: Simplify right side
    51,828x = 12,328,105,024
  5. Step 5: Solve for x
    x = 12,328,105,024/51,828
  6. Step 6: Final answer
    x = 237,865.73

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Why These Related Problems?

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