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Finding the Third Proportional to 106,010 and 164,775

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Solution

The third proportional to 106,010 and 164,775 is: 256,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,010 : 164,775 = 164,775 : x
  2. Step 2: Convert to fraction form
    106,010/164,775 = 164,775/x
  3. Step 3: Cross multiply
    106,010x = 164,775 × 164,775
  4. Step 4: Simplify right side
    106,010x = 27,150,800,625
  5. Step 5: Solve for x
    x = 27,150,800,625/106,010
  6. Step 6: Final answer
    x = 256,115.47

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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.