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Finding the Third Proportional to 55,876 and 75,930

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Solution

The third proportional to 55,876 and 75,930 is: 103,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,876 : 75,930 = 75,930 : x
  2. Step 2: Convert to fraction form
    55,876/75,930 = 75,930/x
  3. Step 3: Cross multiply
    55,876x = 75,930 × 75,930
  4. Step 4: Simplify right side
    55,876x = 5,765,364,900
  5. Step 5: Solve for x
    x = 5,765,364,900/55,876
  6. Step 6: Final answer
    x = 103,181.42

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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.