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Finding the Third Proportional to 51,296 and 74,928

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Solution

The third proportional to 51,296 and 74,928 is: 109,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,296 : 74,928 = 74,928 : x
  2. Step 2: Convert to fraction form
    51,296/74,928 = 74,928/x
  3. Step 3: Cross multiply
    51,296x = 74,928 × 74,928
  4. Step 4: Simplify right side
    51,296x = 5,614,205,184
  5. Step 5: Solve for x
    x = 5,614,205,184/51,296
  6. Step 6: Final answer
    x = 109,447.23

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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.