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Finding the Third Proportional to 106,233.75 and 164,495.25

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Solution

The third proportional to 106,233.75 and 164,495.25 is: 254,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,233.75 : 164,495.25 = 164,495.25 : x
  2. Step 2: Convert to fraction form
    106,233.75/164,495.25 = 164,495.25/x
  3. Step 3: Cross multiply
    106,233.75x = 164,495.25 × 164,495.25
  4. Step 4: Simplify right side
    106,233.75x = 27,058,687,272.56
  5. Step 5: Solve for x
    x = 27,058,687,272.56/106,233.75
  6. Step 6: Final answer
    x = 254,708.95

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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.