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Finding the Third Proportional to 109,044 and 159,966

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Solution

The third proportional to 109,044 and 159,966 is: 234,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,044 : 159,966 = 159,966 : x
  2. Step 2: Convert to fraction form
    109,044/159,966 = 159,966/x
  3. Step 3: Cross multiply
    109,044x = 159,966 × 159,966
  4. Step 4: Simplify right side
    109,044x = 25,589,121,156
  5. Step 5: Solve for x
    x = 25,589,121,156/109,044
  6. Step 6: Final answer
    x = 234,667.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.