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Finding the Third Proportional to 55,884 and 75,936

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Solution

The third proportional to 55,884 and 75,936 is: 103,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,884 : 75,936 = 75,936 : x
  2. Step 2: Convert to fraction form
    55,884/75,936 = 75,936/x
  3. Step 3: Cross multiply
    55,884x = 75,936 × 75,936
  4. Step 4: Simplify right side
    55,884x = 5,766,276,096
  5. Step 5: Solve for x
    x = 5,766,276,096/55,884
  6. Step 6: Final answer
    x = 103,182.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.