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Finding the Third Proportional to 118,970 and 184,493

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Solution

The third proportional to 118,970 and 184,493 is: 286,102.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,970 : 184,493 = 184,493 : x
  2. Step 2: Convert to fraction form
    118,970/184,493 = 184,493/x
  3. Step 3: Cross multiply
    118,970x = 184,493 × 184,493
  4. Step 4: Simplify right side
    118,970x = 34,037,667,049
  5. Step 5: Solve for x
    x = 34,037,667,049/118,970
  6. Step 6: Final answer
    x = 286,102.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.