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Finding the Third Proportional to 122,789 and 184,639

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Solution

The third proportional to 122,789 and 184,639 is: 277,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,789 : 184,639 = 184,639 : x
  2. Step 2: Convert to fraction form
    122,789/184,639 = 184,639/x
  3. Step 3: Cross multiply
    122,789x = 184,639 × 184,639
  4. Step 4: Simplify right side
    122,789x = 34,091,560,321
  5. Step 5: Solve for x
    x = 34,091,560,321/122,789
  6. Step 6: Final answer
    x = 277,643.44

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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.