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Finding the Third Proportional to 125,108 and 184,352

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Solution

The third proportional to 125,108 and 184,352 is: 271,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,108 : 184,352 = 184,352 : x
  2. Step 2: Convert to fraction form
    125,108/184,352 = 184,352/x
  3. Step 3: Cross multiply
    125,108x = 184,352 × 184,352
  4. Step 4: Simplify right side
    125,108x = 33,985,659,904
  5. Step 5: Solve for x
    x = 33,985,659,904/125,108
  6. Step 6: Final answer
    x = 271,650.57

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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.