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Finding the Third Proportional to 63,679 and 100,751

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Solution

The third proportional to 63,679 and 100,751 is: 159,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,679 : 100,751 = 100,751 : x
  2. Step 2: Convert to fraction form
    63,679/100,751 = 100,751/x
  3. Step 3: Cross multiply
    63,679x = 100,751 × 100,751
  4. Step 4: Simplify right side
    63,679x = 10,150,764,001
  5. Step 5: Solve for x
    x = 10,150,764,001/63,679
  6. Step 6: Final answer
    x = 159,405.20

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.