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Finding the Third Proportional to 68,665 and 144,711

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Solution

The third proportional to 68,665 and 144,711 is: 304,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,665 : 144,711 = 144,711 : x
  2. Step 2: Convert to fraction form
    68,665/144,711 = 144,711/x
  3. Step 3: Cross multiply
    68,665x = 144,711 × 144,711
  4. Step 4: Simplify right side
    68,665x = 20,941,273,521
  5. Step 5: Solve for x
    x = 20,941,273,521/68,665
  6. Step 6: Final answer
    x = 304,977.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.