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Finding the Third Proportional to 106,568 and 159,120

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Solution

The third proportional to 106,568 and 159,120 is: 237,587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,568 : 159,120 = 159,120 : x
  2. Step 2: Convert to fraction form
    106,568/159,120 = 159,120/x
  3. Step 3: Cross multiply
    106,568x = 159,120 × 159,120
  4. Step 4: Simplify right side
    106,568x = 25,319,174,400
  5. Step 5: Solve for x
    x = 25,319,174,400/106,568
  6. Step 6: Final answer
    x = 237,587.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.