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Finding the Third Proportional to 52,039 and 122,803

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Solution

The third proportional to 52,039 and 122,803 is: 289,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,039 : 122,803 = 122,803 : x
  2. Step 2: Convert to fraction form
    52,039/122,803 = 122,803/x
  3. Step 3: Cross multiply
    52,039x = 122,803 × 122,803
  4. Step 4: Simplify right side
    52,039x = 15,080,576,809
  5. Step 5: Solve for x
    x = 15,080,576,809/52,039
  6. Step 6: Final answer
    x = 289,793.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.