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Finding the Third Proportional to 52,783 and 79,077

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Solution

The third proportional to 52,783 and 79,077 is: 118,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,783 : 79,077 = 79,077 : x
  2. Step 2: Convert to fraction form
    52,783/79,077 = 79,077/x
  3. Step 3: Cross multiply
    52,783x = 79,077 × 79,077
  4. Step 4: Simplify right side
    52,783x = 6,253,171,929
  5. Step 5: Solve for x
    x = 6,253,171,929/52,783
  6. Step 6: Final answer
    x = 118,469.43

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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.