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Finding the Third Proportional to 81,904 and 146,960

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Solution

The third proportional to 81,904 and 146,960 is: 263,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,904 : 146,960 = 146,960 : x
  2. Step 2: Convert to fraction form
    81,904/146,960 = 146,960/x
  3. Step 3: Cross multiply
    81,904x = 146,960 × 146,960
  4. Step 4: Simplify right side
    81,904x = 21,597,241,600
  5. Step 5: Solve for x
    x = 21,597,241,600/81,904
  6. Step 6: Final answer
    x = 263,689.71

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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.