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Finding the Third Proportional to 106,483 and 164,855

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Solution

The third proportional to 106,483 and 164,855 is: 255,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,483 : 164,855 = 164,855 : x
  2. Step 2: Convert to fraction form
    106,483/164,855 = 164,855/x
  3. Step 3: Cross multiply
    106,483x = 164,855 × 164,855
  4. Step 4: Simplify right side
    106,483x = 27,177,171,025
  5. Step 5: Solve for x
    x = 27,177,171,025/106,483
  6. Step 6: Final answer
    x = 255,225.44

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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.