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Finding the Third Proportional to 106,155 and 165,692

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Solution

The third proportional to 106,155 and 165,692 is: 258,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,155 : 165,692 = 165,692 : x
  2. Step 2: Convert to fraction form
    106,155/165,692 = 165,692/x
  3. Step 3: Cross multiply
    106,155x = 165,692 × 165,692
  4. Step 4: Simplify right side
    106,155x = 27,453,838,864
  5. Step 5: Solve for x
    x = 27,453,838,864/106,155
  6. Step 6: Final answer
    x = 258,620.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.