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Finding the Third Proportional to 129,518 and 184,589

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Solution

The third proportional to 129,518 and 184,589 is: 263,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,518 : 184,589 = 184,589 : x
  2. Step 2: Convert to fraction form
    129,518/184,589 = 184,589/x
  3. Step 3: Cross multiply
    129,518x = 184,589 × 184,589
  4. Step 4: Simplify right side
    129,518x = 34,073,098,921
  5. Step 5: Solve for x
    x = 34,073,098,921/129,518
  6. Step 6: Final answer
    x = 263,076.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.