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Finding the Third Proportional to 120,660 and 158,668

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Solution

The third proportional to 120,660 and 158,668 is: 208,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,660 : 158,668 = 158,668 : x
  2. Step 2: Convert to fraction form
    120,660/158,668 = 158,668/x
  3. Step 3: Cross multiply
    120,660x = 158,668 × 158,668
  4. Step 4: Simplify right side
    120,660x = 25,175,534,224
  5. Step 5: Solve for x
    x = 25,175,534,224/120,660
  6. Step 6: Final answer
    x = 208,648.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.