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Finding the Third Proportional to 109,529 and 164,779

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Solution

The third proportional to 109,529 and 164,779 is: 247,898.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,529 : 164,779 = 164,779 : x
  2. Step 2: Convert to fraction form
    109,529/164,779 = 164,779/x
  3. Step 3: Cross multiply
    109,529x = 164,779 × 164,779
  4. Step 4: Simplify right side
    109,529x = 27,152,118,841
  5. Step 5: Solve for x
    x = 27,152,118,841/109,529
  6. Step 6: Final answer
    x = 247,898.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.