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Finding the Third Proportional to 51,009.75 and 110,493

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Solution

The third proportional to 51,009.75 and 110,493 is: 239,340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,009.75 : 110,493 = 110,493 : x
  2. Step 2: Convert to fraction form
    51,009.75/110,493 = 110,493/x
  3. Step 3: Cross multiply
    51,009.75x = 110,493 × 110,493
  4. Step 4: Simplify right side
    51,009.75x = 12,208,703,049
  5. Step 5: Solve for x
    x = 12,208,703,049/51,009.75
  6. Step 6: Final answer
    x = 239,340.58

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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.