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Finding the Third Proportional to 122,583 and 184,914

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Solution

The third proportional to 122,583 and 184,914 is: 278,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,583 : 184,914 = 184,914 : x
  2. Step 2: Convert to fraction form
    122,583/184,914 = 184,914/x
  3. Step 3: Cross multiply
    122,583x = 184,914 × 184,914
  4. Step 4: Simplify right side
    122,583x = 34,193,187,396
  5. Step 5: Solve for x
    x = 34,193,187,396/122,583
  6. Step 6: Final answer
    x = 278,939.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.