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Finding the Third Proportional to 106,873 and 166,779

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Solution

The third proportional to 106,873 and 166,779 is: 260,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,873 : 166,779 = 166,779 : x
  2. Step 2: Convert to fraction form
    106,873/166,779 = 166,779/x
  3. Step 3: Cross multiply
    106,873x = 166,779 × 166,779
  4. Step 4: Simplify right side
    106,873x = 27,815,234,841
  5. Step 5: Solve for x
    x = 27,815,234,841/106,873
  6. Step 6: Final answer
    x = 260,264.38

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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.