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Finding the Third Proportional to 51,518 and 111,136

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Solution

The third proportional to 51,518 and 111,136 is: 239,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,518 : 111,136 = 111,136 : x
  2. Step 2: Convert to fraction form
    51,518/111,136 = 111,136/x
  3. Step 3: Cross multiply
    51,518x = 111,136 × 111,136
  4. Step 4: Simplify right side
    51,518x = 12,351,210,496
  5. Step 5: Solve for x
    x = 12,351,210,496/51,518
  6. Step 6: Final answer
    x = 239,745.54

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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.