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Finding the Third Proportional to 51,734 and 96,083

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Solution

The third proportional to 51,734 and 96,083 is: 178,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,734 : 96,083 = 96,083 : x
  2. Step 2: Convert to fraction form
    51,734/96,083 = 96,083/x
  3. Step 3: Cross multiply
    51,734x = 96,083 × 96,083
  4. Step 4: Simplify right side
    51,734x = 9,231,942,889
  5. Step 5: Solve for x
    x = 9,231,942,889/51,734
  6. Step 6: Final answer
    x = 178,450.20

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.