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Finding the Third Proportional to 78,954 and 166,779

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Solution

The third proportional to 78,954 and 166,779 is: 352,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,954 : 166,779 = 166,779 : x
  2. Step 2: Convert to fraction form
    78,954/166,779 = 166,779/x
  3. Step 3: Cross multiply
    78,954x = 166,779 × 166,779
  4. Step 4: Simplify right side
    78,954x = 27,815,234,841
  5. Step 5: Solve for x
    x = 27,815,234,841/78,954
  6. Step 6: Final answer
    x = 352,296.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.