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Finding the Third Proportional to 125,110 and 184,357

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Solution

The third proportional to 125,110 and 184,357 is: 271,660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,110 : 184,357 = 184,357 : x
  2. Step 2: Convert to fraction form
    125,110/184,357 = 184,357/x
  3. Step 3: Cross multiply
    125,110x = 184,357 × 184,357
  4. Step 4: Simplify right side
    125,110x = 33,987,503,449
  5. Step 5: Solve for x
    x = 33,987,503,449/125,110
  6. Step 6: Final answer
    x = 271,660.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.