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Finding the Third Proportional to 106,438 and 160,103

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Solution

The third proportional to 106,438 and 160,103 is: 240,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,438 : 160,103 = 160,103 : x
  2. Step 2: Convert to fraction form
    106,438/160,103 = 160,103/x
  3. Step 3: Cross multiply
    106,438x = 160,103 × 160,103
  4. Step 4: Simplify right side
    106,438x = 25,632,970,609
  5. Step 5: Solve for x
    x = 25,632,970,609/106,438
  6. Step 6: Final answer
    x = 240,825.37

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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.