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Finding the Third Proportional to 122,665 and 184,604

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Solution

The third proportional to 122,665 and 184,604 is: 277,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,665 : 184,604 = 184,604 : x
  2. Step 2: Convert to fraction form
    122,665/184,604 = 184,604/x
  3. Step 3: Cross multiply
    122,665x = 184,604 × 184,604
  4. Step 4: Simplify right side
    122,665x = 34,078,636,816
  5. Step 5: Solve for x
    x = 34,078,636,816/122,665
  6. Step 6: Final answer
    x = 277,818.75

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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.