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Finding the Third Proportional to 49,051 and 75,936

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Solution

The third proportional to 49,051 and 75,936 is: 117,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,051 : 75,936 = 75,936 : x
  2. Step 2: Convert to fraction form
    49,051/75,936 = 75,936/x
  3. Step 3: Cross multiply
    49,051x = 75,936 × 75,936
  4. Step 4: Simplify right side
    49,051x = 5,766,276,096
  5. Step 5: Solve for x
    x = 5,766,276,096/49,051
  6. Step 6: Final answer
    x = 117,556.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.