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Finding the Third Proportional to 81,003 and 109,045

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Solution

The third proportional to 81,003 and 109,045 is: 146,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,003 : 109,045 = 109,045 : x
  2. Step 2: Convert to fraction form
    81,003/109,045 = 109,045/x
  3. Step 3: Cross multiply
    81,003x = 109,045 × 109,045
  4. Step 4: Simplify right side
    81,003x = 11,890,812,025
  5. Step 5: Solve for x
    x = 11,890,812,025/81,003
  6. Step 6: Final answer
    x = 146,794.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.