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Finding the Third Proportional to 106,954.03 and 164,410.31

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Solution

The third proportional to 106,954.03 and 164,410.31 is: 252,732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,954.03 : 164,410.31 = 164,410.31 : x
  2. Step 2: Convert to fraction form
    106,954.03/164,410.31 = 164,410.31/x
  3. Step 3: Cross multiply
    106,954.03x = 164,410.31 × 164,410.31
  4. Step 4: Simplify right side
    106,954.03x = 27,030,750,856.35
  5. Step 5: Solve for x
    x = 27,030,750,856.35/106,954.03
  6. Step 6: Final answer
    x = 252,732.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.