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Finding the Third Proportional to 51,283 and 110,767

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Solution

The third proportional to 51,283 and 110,767 is: 239,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,283 : 110,767 = 110,767 : x
  2. Step 2: Convert to fraction form
    51,283/110,767 = 110,767/x
  3. Step 3: Cross multiply
    51,283x = 110,767 × 110,767
  4. Step 4: Simplify right side
    51,283x = 12,269,328,289
  5. Step 5: Solve for x
    x = 12,269,328,289/51,283
  6. Step 6: Final answer
    x = 239,247.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.