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Finding the Third Proportional to 122,337 and 189,069

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Solution

The third proportional to 122,337 and 189,069 is: 292,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,337 : 189,069 = 189,069 : x
  2. Step 2: Convert to fraction form
    122,337/189,069 = 189,069/x
  3. Step 3: Cross multiply
    122,337x = 189,069 × 189,069
  4. Step 4: Simplify right side
    122,337x = 35,747,086,761
  5. Step 5: Solve for x
    x = 35,747,086,761/122,337
  6. Step 6: Final answer
    x = 292,201.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.