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Finding the Third Proportional to 51,001 and 110,475

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Solution

The third proportional to 51,001 and 110,475 is: 239,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,001 : 110,475 = 110,475 : x
  2. Step 2: Convert to fraction form
    51,001/110,475 = 110,475/x
  3. Step 3: Cross multiply
    51,001x = 110,475 × 110,475
  4. Step 4: Simplify right side
    51,001x = 12,204,725,625
  5. Step 5: Solve for x
    x = 12,204,725,625/51,001
  6. Step 6: Final answer
    x = 239,303.65

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