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Finding the Third Proportional to 43,762 and 96,003

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Solution

The third proportional to 43,762 and 96,003 is: 210,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,762 : 96,003 = 96,003 : x
  2. Step 2: Convert to fraction form
    43,762/96,003 = 96,003/x
  3. Step 3: Cross multiply
    43,762x = 96,003 × 96,003
  4. Step 4: Simplify right side
    43,762x = 9,216,576,009
  5. Step 5: Solve for x
    x = 9,216,576,009/43,762
  6. Step 6: Final answer
    x = 210,606.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.