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Finding the Third Proportional to 109,660 and 164,044

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Solution

The third proportional to 109,660 and 164,044 is: 245,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,660 : 164,044 = 164,044 : x
  2. Step 2: Convert to fraction form
    109,660/164,044 = 164,044/x
  3. Step 3: Cross multiply
    109,660x = 164,044 × 164,044
  4. Step 4: Simplify right side
    109,660x = 26,910,433,936
  5. Step 5: Solve for x
    x = 26,910,433,936/109,660
  6. Step 6: Final answer
    x = 245,398.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.