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Finding the Third Proportional to 65,961 and 134,254.97

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Solution

The third proportional to 65,961 and 134,254.97 is: 273,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,961 : 134,254.97 = 134,254.97 : x
  2. Step 2: Convert to fraction form
    65,961/134,254.97 = 134,254.97/x
  3. Step 3: Cross multiply
    65,961x = 134,254.97 × 134,254.97
  4. Step 4: Simplify right side
    65,961x = 18,024,396,634.06
  5. Step 5: Solve for x
    x = 18,024,396,634.06/65,961
  6. Step 6: Final answer
    x = 273,258.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.