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Finding the Third Proportional to 106,152 and 164,268

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Solution

The third proportional to 106,152 and 164,268 is: 254,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,152 : 164,268 = 164,268 : x
  2. Step 2: Convert to fraction form
    106,152/164,268 = 164,268/x
  3. Step 3: Cross multiply
    106,152x = 164,268 × 164,268
  4. Step 4: Simplify right side
    106,152x = 26,983,975,824
  5. Step 5: Solve for x
    x = 26,983,975,824/106,152
  6. Step 6: Final answer
    x = 254,201.29

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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.