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Finding the Third Proportional to 119,135 and 184,301

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Solution

The third proportional to 119,135 and 184,301 is: 285,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,135 : 184,301 = 184,301 : x
  2. Step 2: Convert to fraction form
    119,135/184,301 = 184,301/x
  3. Step 3: Cross multiply
    119,135x = 184,301 × 184,301
  4. Step 4: Simplify right side
    119,135x = 33,966,858,601
  5. Step 5: Solve for x
    x = 33,966,858,601/119,135
  6. Step 6: Final answer
    x = 285,112.34

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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.