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Finding the Third Proportional to 106,434 and 164,795

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Solution

The third proportional to 106,434 and 164,795 is: 255,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,434 : 164,795 = 164,795 : x
  2. Step 2: Convert to fraction form
    106,434/164,795 = 164,795/x
  3. Step 3: Cross multiply
    106,434x = 164,795 × 164,795
  4. Step 4: Simplify right side
    106,434x = 27,157,392,025
  5. Step 5: Solve for x
    x = 27,157,392,025/106,434
  6. Step 6: Final answer
    x = 255,157.11

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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.