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Finding the Third Proportional to 123,093 and 184,429

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Solution

The third proportional to 123,093 and 184,429 is: 276,328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,093 : 184,429 = 184,429 : x
  2. Step 2: Convert to fraction form
    123,093/184,429 = 184,429/x
  3. Step 3: Cross multiply
    123,093x = 184,429 × 184,429
  4. Step 4: Simplify right side
    123,093x = 34,014,056,041
  5. Step 5: Solve for x
    x = 34,014,056,041/123,093
  6. Step 6: Final answer
    x = 276,328.11

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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.