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Finding the Third Proportional to 51,000 and 110,470

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Solution

The third proportional to 51,000 and 110,470 is: 239,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,000 : 110,470 = 110,470 : x
  2. Step 2: Convert to fraction form
    51,000/110,470 = 110,470/x
  3. Step 3: Cross multiply
    51,000x = 110,470 × 110,470
  4. Step 4: Simplify right side
    51,000x = 12,203,620,900
  5. Step 5: Solve for x
    x = 12,203,620,900/51,000
  6. Step 6: Final answer
    x = 239,286.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.