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Finding the Third Proportional to 81,837 and 179,289

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Solution

The third proportional to 81,837 and 179,289 is: 392,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,837 : 179,289 = 179,289 : x
  2. Step 2: Convert to fraction form
    81,837/179,289 = 179,289/x
  3. Step 3: Cross multiply
    81,837x = 179,289 × 179,289
  4. Step 4: Simplify right side
    81,837x = 32,144,545,521
  5. Step 5: Solve for x
    x = 32,144,545,521/81,837
  6. Step 6: Final answer
    x = 392,787.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.