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Finding the Third Proportional to 51,244 and 76,408

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Solution

The third proportional to 51,244 and 76,408 is: 113,929.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,244 : 76,408 = 76,408 : x
  2. Step 2: Convert to fraction form
    51,244/76,408 = 76,408/x
  3. Step 3: Cross multiply
    51,244x = 76,408 × 76,408
  4. Step 4: Simplify right side
    51,244x = 5,838,182,464
  5. Step 5: Solve for x
    x = 5,838,182,464/51,244
  6. Step 6: Final answer
    x = 113,929.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.