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Finding the Third Proportional to 69,742 and 143,192

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Solution

The third proportional to 69,742 and 143,192 is: 293,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,742 : 143,192 = 143,192 : x
  2. Step 2: Convert to fraction form
    69,742/143,192 = 143,192/x
  3. Step 3: Cross multiply
    69,742x = 143,192 × 143,192
  4. Step 4: Simplify right side
    69,742x = 20,503,948,864
  5. Step 5: Solve for x
    x = 20,503,948,864/69,742
  6. Step 6: Final answer
    x = 293,997.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.