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Finding the Third Proportional to 106,155 and 162,918

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Solution

The third proportional to 106,155 and 162,918 is: 250,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,155 : 162,918 = 162,918 : x
  2. Step 2: Convert to fraction form
    106,155/162,918 = 162,918/x
  3. Step 3: Cross multiply
    106,155x = 162,918 × 162,918
  4. Step 4: Simplify right side
    106,155x = 26,542,274,724
  5. Step 5: Solve for x
    x = 26,542,274,724/106,155
  6. Step 6: Final answer
    x = 250,033.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.