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Finding the Third Proportional to 106,336 and 164,530

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Solution

The third proportional to 106,336 and 164,530 is: 254,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,336 : 164,530 = 164,530 : x
  2. Step 2: Convert to fraction form
    106,336/164,530 = 164,530/x
  3. Step 3: Cross multiply
    106,336x = 164,530 × 164,530
  4. Step 4: Simplify right side
    106,336x = 27,070,120,900
  5. Step 5: Solve for x
    x = 27,070,120,900/106,336
  6. Step 6: Final answer
    x = 254,571.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.