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Finding the Third Proportional to 51,324 and 76,779

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Solution

The third proportional to 51,324 and 76,779 is: 114,858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,324 : 76,779 = 76,779 : x
  2. Step 2: Convert to fraction form
    51,324/76,779 = 76,779/x
  3. Step 3: Cross multiply
    51,324x = 76,779 × 76,779
  4. Step 4: Simplify right side
    51,324x = 5,895,014,841
  5. Step 5: Solve for x
    x = 5,895,014,841/51,324
  6. Step 6: Final answer
    x = 114,858.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.