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Finding the Third Proportional to 106,287 and 164,564

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Solution

The third proportional to 106,287 and 164,564 is: 254,794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,287 : 164,564 = 164,564 : x
  2. Step 2: Convert to fraction form
    106,287/164,564 = 164,564/x
  3. Step 3: Cross multiply
    106,287x = 164,564 × 164,564
  4. Step 4: Simplify right side
    106,287x = 27,081,310,096
  5. Step 5: Solve for x
    x = 27,081,310,096/106,287
  6. Step 6: Final answer
    x = 254,794.19

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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.