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Finding the Third Proportional to 123,033 and 184,550

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Solution

The third proportional to 123,033 and 184,550 is: 276,825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,033 : 184,550 = 184,550 : x
  2. Step 2: Convert to fraction form
    123,033/184,550 = 184,550/x
  3. Step 3: Cross multiply
    123,033x = 184,550 × 184,550
  4. Step 4: Simplify right side
    123,033x = 34,058,702,500
  5. Step 5: Solve for x
    x = 34,058,702,500/123,033
  6. Step 6: Final answer
    x = 276,825.75

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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.