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Finding the Third Proportional to 69,067.75 and 106,652.75

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Solution

The third proportional to 69,067.75 and 106,652.75 is: 164,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,067.75 : 106,652.75 = 106,652.75 : x
  2. Step 2: Convert to fraction form
    69,067.75/106,652.75 = 106,652.75/x
  3. Step 3: Cross multiply
    69,067.75x = 106,652.75 × 106,652.75
  4. Step 4: Simplify right side
    69,067.75x = 11,374,809,082.56
  5. Step 5: Solve for x
    x = 11,374,809,082.56/69,067.75
  6. Step 6: Final answer
    x = 164,690.60

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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.