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Finding the Third Proportional to 106,478 and 159,720

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Solution

The third proportional to 106,478 and 159,720 is: 239,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,478 : 159,720 = 159,720 : x
  2. Step 2: Convert to fraction form
    106,478/159,720 = 159,720/x
  3. Step 3: Cross multiply
    106,478x = 159,720 × 159,720
  4. Step 4: Simplify right side
    106,478x = 25,510,478,400
  5. Step 5: Solve for x
    x = 25,510,478,400/106,478
  6. Step 6: Final answer
    x = 239,584.50

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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.