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Finding the Third Proportional to 106,389 and 161,794

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Solution

The third proportional to 106,389 and 161,794 is: 246,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,389 : 161,794 = 161,794 : x
  2. Step 2: Convert to fraction form
    106,389/161,794 = 161,794/x
  3. Step 3: Cross multiply
    106,389x = 161,794 × 161,794
  4. Step 4: Simplify right side
    106,389x = 26,177,298,436
  5. Step 5: Solve for x
    x = 26,177,298,436/106,389
  6. Step 6: Final answer
    x = 246,052.68

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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.