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Finding the Third Proportional to 106,439.25 and 160,103.25

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Solution

The third proportional to 106,439.25 and 160,103.25 is: 240,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,439.25 : 160,103.25 = 160,103.25 : x
  2. Step 2: Convert to fraction form
    106,439.25/160,103.25 = 160,103.25/x
  3. Step 3: Cross multiply
    106,439.25x = 160,103.25 × 160,103.25
  4. Step 4: Simplify right side
    106,439.25x = 25,633,050,660.56
  5. Step 5: Solve for x
    x = 25,633,050,660.56/106,439.25
  6. Step 6: Final answer
    x = 240,823.29

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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.