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Finding the Third Proportional to 106,355.25 and 164,661.75

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Solution

The third proportional to 106,355.25 and 164,661.75 is: 254,933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,355.25 : 164,661.75 = 164,661.75 : x
  2. Step 2: Convert to fraction form
    106,355.25/164,661.75 = 164,661.75/x
  3. Step 3: Cross multiply
    106,355.25x = 164,661.75 × 164,661.75
  4. Step 4: Simplify right side
    106,355.25x = 27,113,491,913.06
  5. Step 5: Solve for x
    x = 27,113,491,913.06/106,355.25
  6. Step 6: Final answer
    x = 254,933.27

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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.