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Finding the Third Proportional to 107,990 and 159,051

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Solution

The third proportional to 107,990 and 159,051 is: 234,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,990 : 159,051 = 159,051 : x
  2. Step 2: Convert to fraction form
    107,990/159,051 = 159,051/x
  3. Step 3: Cross multiply
    107,990x = 159,051 × 159,051
  4. Step 4: Simplify right side
    107,990x = 25,297,220,601
  5. Step 5: Solve for x
    x = 25,297,220,601/107,990
  6. Step 6: Final answer
    x = 234,255.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.