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Finding the Third Proportional to 106,233 and 159,597

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Solution

The third proportional to 106,233 and 159,597 is: 239,767.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,233 : 159,597 = 159,597 : x
  2. Step 2: Convert to fraction form
    106,233/159,597 = 159,597/x
  3. Step 3: Cross multiply
    106,233x = 159,597 × 159,597
  4. Step 4: Simplify right side
    106,233x = 25,471,202,409
  5. Step 5: Solve for x
    x = 25,471,202,409/106,233
  6. Step 6: Final answer
    x = 239,767.33

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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.