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Finding the Third Proportional to 122,995 and 184,494

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Solution

The third proportional to 122,995 and 184,494 is: 276,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,995 : 184,494 = 184,494 : x
  2. Step 2: Convert to fraction form
    122,995/184,494 = 184,494/x
  3. Step 3: Cross multiply
    122,995x = 184,494 × 184,494
  4. Step 4: Simplify right side
    122,995x = 34,038,036,036
  5. Step 5: Solve for x
    x = 34,038,036,036/122,995
  6. Step 6: Final answer
    x = 276,743.25

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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.