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Finding the Third Proportional to 125,126 and 184,371

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Solution

The third proportional to 125,126 and 184,371 is: 271,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,126 : 184,371 = 184,371 : x
  2. Step 2: Convert to fraction form
    125,126/184,371 = 184,371/x
  3. Step 3: Cross multiply
    125,126x = 184,371 × 184,371
  4. Step 4: Simplify right side
    125,126x = 33,992,665,641
  5. Step 5: Solve for x
    x = 33,992,665,641/125,126
  6. Step 6: Final answer
    x = 271,667.48

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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.