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Finding the Third Proportional to 106,987 and 165,093

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Solution

The third proportional to 106,987 and 165,093 is: 254,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,987 : 165,093 = 165,093 : x
  2. Step 2: Convert to fraction form
    106,987/165,093 = 165,093/x
  3. Step 3: Cross multiply
    106,987x = 165,093 × 165,093
  4. Step 4: Simplify right side
    106,987x = 27,255,698,649
  5. Step 5: Solve for x
    x = 27,255,698,649/106,987
  6. Step 6: Final answer
    x = 254,757.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.