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Finding the Third Proportional to 106,972 and 164,439

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Solution

The third proportional to 106,972 and 164,439 is: 252,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,972 : 164,439 = 164,439 : x
  2. Step 2: Convert to fraction form
    106,972/164,439 = 164,439/x
  3. Step 3: Cross multiply
    106,972x = 164,439 × 164,439
  4. Step 4: Simplify right side
    106,972x = 27,040,184,721
  5. Step 5: Solve for x
    x = 27,040,184,721/106,972
  6. Step 6: Final answer
    x = 252,778.15

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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.