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Finding the Third Proportional to 110,640 and 159,048

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Solution

The third proportional to 110,640 and 159,048 is: 228,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,640 : 159,048 = 159,048 : x
  2. Step 2: Convert to fraction form
    110,640/159,048 = 159,048/x
  3. Step 3: Cross multiply
    110,640x = 159,048 × 159,048
  4. Step 4: Simplify right side
    110,640x = 25,296,266,304
  5. Step 5: Solve for x
    x = 25,296,266,304/110,640
  6. Step 6: Final answer
    x = 228,635.81

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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.