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Finding the Third Proportional to 110,642 and 159,051

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Solution

The third proportional to 110,642 and 159,051 is: 228,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,642 : 159,051 = 159,051 : x
  2. Step 2: Convert to fraction form
    110,642/159,051 = 159,051/x
  3. Step 3: Cross multiply
    110,642x = 159,051 × 159,051
  4. Step 4: Simplify right side
    110,642x = 25,297,220,601
  5. Step 5: Solve for x
    x = 25,297,220,601/110,642
  6. Step 6: Final answer
    x = 228,640.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.