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Finding the Third Proportional to 109,219.13 and 165,520.13

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Solution

The third proportional to 109,219.13 and 165,520.13 is: 250,843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,219.13 : 165,520.13 = 165,520.13 : x
  2. Step 2: Convert to fraction form
    109,219.13/165,520.13 = 165,520.13/x
  3. Step 3: Cross multiply
    109,219.13x = 165,520.13 × 165,520.13
  4. Step 4: Simplify right side
    109,219.13x = 27,396,911,780.02
  5. Step 5: Solve for x
    x = 27,396,911,780.02/109,219.13
  6. Step 6: Final answer
    x = 250,843.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.