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Finding the Third Proportional to 68,258.81 and 106,844.34

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Solution

The third proportional to 68,258.81 and 106,844.34 is: 167,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,258.81 : 106,844.34 = 106,844.34 : x
  2. Step 2: Convert to fraction form
    68,258.81/106,844.34 = 106,844.34/x
  3. Step 3: Cross multiply
    68,258.81x = 106,844.34 × 106,844.34
  4. Step 4: Simplify right side
    68,258.81x = 11,415,713,791.37
  5. Step 5: Solve for x
    x = 11,415,713,791.37/68,258.81
  6. Step 6: Final answer
    x = 167,241.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.