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Finding the Third Proportional to 51,872 and 75,968

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Solution

The third proportional to 51,872 and 75,968 is: 111,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,872 : 75,968 = 75,968 : x
  2. Step 2: Convert to fraction form
    51,872/75,968 = 75,968/x
  3. Step 3: Cross multiply
    51,872x = 75,968 × 75,968
  4. Step 4: Simplify right side
    51,872x = 5,771,137,024
  5. Step 5: Solve for x
    x = 5,771,137,024/51,872
  6. Step 6: Final answer
    x = 111,257.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.