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Finding the Third Proportional to 76,720 and 101,976

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Solution

The third proportional to 76,720 and 101,976 is: 135,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,720 : 101,976 = 101,976 : x
  2. Step 2: Convert to fraction form
    76,720/101,976 = 101,976/x
  3. Step 3: Cross multiply
    76,720x = 101,976 × 101,976
  4. Step 4: Simplify right side
    76,720x = 10,399,104,576
  5. Step 5: Solve for x
    x = 10,399,104,576/76,720
  6. Step 6: Final answer
    x = 135,546.20

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.