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Finding the Third Proportional to 122,983 and 184,475

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Solution

The third proportional to 122,983 and 184,475 is: 276,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,983 : 184,475 = 184,475 : x
  2. Step 2: Convert to fraction form
    122,983/184,475 = 184,475/x
  3. Step 3: Cross multiply
    122,983x = 184,475 × 184,475
  4. Step 4: Simplify right side
    122,983x = 34,031,025,625
  5. Step 5: Solve for x
    x = 34,031,025,625/122,983
  6. Step 6: Final answer
    x = 276,713.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.