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Finding the Third Proportional to 106,669 and 165,205.50

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Solution

The third proportional to 106,669 and 165,205.50 is: 255,864.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,669 : 165,205.50 = 165,205.50 : x
  2. Step 2: Convert to fraction form
    106,669/165,205.50 = 165,205.50/x
  3. Step 3: Cross multiply
    106,669x = 165,205.50 × 165,205.50
  4. Step 4: Simplify right side
    106,669x = 27,292,857,230.25
  5. Step 5: Solve for x
    x = 27,292,857,230.25/106,669
  6. Step 6: Final answer
    x = 255,864.94

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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.