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Finding the Third Proportional to 84,132 and 184,105

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Solution

The third proportional to 84,132 and 184,105 is: 402,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,132 : 184,105 = 184,105 : x
  2. Step 2: Convert to fraction form
    84,132/184,105 = 184,105/x
  3. Step 3: Cross multiply
    84,132x = 184,105 × 184,105
  4. Step 4: Simplify right side
    84,132x = 33,894,651,025
  5. Step 5: Solve for x
    x = 33,894,651,025/84,132
  6. Step 6: Final answer
    x = 402,874.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.