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Finding the Third Proportional to 69,338 and 106,599

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Solution

The third proportional to 69,338 and 106,599 is: 163,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,338 : 106,599 = 106,599 : x
  2. Step 2: Convert to fraction form
    69,338/106,599 = 106,599/x
  3. Step 3: Cross multiply
    69,338x = 106,599 × 106,599
  4. Step 4: Simplify right side
    69,338x = 11,363,346,801
  5. Step 5: Solve for x
    x = 11,363,346,801/69,338
  6. Step 6: Final answer
    x = 163,883.39

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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.