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Finding the Third Proportional to 125,108 and 184,351

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Solution

The third proportional to 125,108 and 184,351 is: 271,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,108 : 184,351 = 184,351 : x
  2. Step 2: Convert to fraction form
    125,108/184,351 = 184,351/x
  3. Step 3: Cross multiply
    125,108x = 184,351 × 184,351
  4. Step 4: Simplify right side
    125,108x = 33,985,291,201
  5. Step 5: Solve for x
    x = 33,985,291,201/125,108
  6. Step 6: Final answer
    x = 271,647.63

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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.