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Finding the Third Proportional to 84,966 and 134,949

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Solution

The third proportional to 84,966 and 134,949 is: 214,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,966 : 134,949 = 134,949 : x
  2. Step 2: Convert to fraction form
    84,966/134,949 = 134,949/x
  3. Step 3: Cross multiply
    84,966x = 134,949 × 134,949
  4. Step 4: Simplify right side
    84,966x = 18,211,232,601
  5. Step 5: Solve for x
    x = 18,211,232,601/84,966
  6. Step 6: Final answer
    x = 214,335.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.