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Finding the Third Proportional to 80,973 and 108,945

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Solution

The third proportional to 80,973 and 108,945 is: 146,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,973 : 108,945 = 108,945 : x
  2. Step 2: Convert to fraction form
    80,973/108,945 = 108,945/x
  3. Step 3: Cross multiply
    80,973x = 108,945 × 108,945
  4. Step 4: Simplify right side
    80,973x = 11,869,013,025
  5. Step 5: Solve for x
    x = 11,869,013,025/80,973
  6. Step 6: Final answer
    x = 146,579.88

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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.