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Finding the Third Proportional to 109,928.25 and 164,820.38

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Solution

The third proportional to 109,928.25 and 164,820.38 is: 247,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,928.25 : 164,820.38 = 164,820.38 : x
  2. Step 2: Convert to fraction form
    109,928.25/164,820.38 = 164,820.38/x
  3. Step 3: Cross multiply
    109,928.25x = 164,820.38 × 164,820.38
  4. Step 4: Simplify right side
    109,928.25x = 27,165,756,015.14
  5. Step 5: Solve for x
    x = 27,165,756,015.14/109,928.25
  6. Step 6: Final answer
    x = 247,122.61

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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.