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Finding the Third Proportional to 69,396 and 106,692

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Solution

The third proportional to 69,396 and 106,692 is: 164,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,396 : 106,692 = 106,692 : x
  2. Step 2: Convert to fraction form
    69,396/106,692 = 106,692/x
  3. Step 3: Cross multiply
    69,396x = 106,692 × 106,692
  4. Step 4: Simplify right side
    69,396x = 11,383,182,864
  5. Step 5: Solve for x
    x = 11,383,182,864/69,396
  6. Step 6: Final answer
    x = 164,032.26

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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.