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Finding the Third Proportional to 122,854 and 184,683

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Solution

The third proportional to 122,854 and 184,683 is: 277,628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,854 : 184,683 = 184,683 : x
  2. Step 2: Convert to fraction form
    122,854/184,683 = 184,683/x
  3. Step 3: Cross multiply
    122,854x = 184,683 × 184,683
  4. Step 4: Simplify right side
    122,854x = 34,107,810,489
  5. Step 5: Solve for x
    x = 34,107,810,489/122,854
  6. Step 6: Final answer
    x = 277,628.82

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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.