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Finding the Third Proportional to 118,620 and 184,734

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Solution

The third proportional to 118,620 and 184,734 is: 287,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,620 : 184,734 = 184,734 : x
  2. Step 2: Convert to fraction form
    118,620/184,734 = 184,734/x
  3. Step 3: Cross multiply
    118,620x = 184,734 × 184,734
  4. Step 4: Simplify right side
    118,620x = 34,126,650,756
  5. Step 5: Solve for x
    x = 34,126,650,756/118,620
  6. Step 6: Final answer
    x = 287,697.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.