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Finding the Third Proportional to 66,933 and 139,414

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Solution

The third proportional to 66,933 and 139,414 is: 290,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,933 : 139,414 = 139,414 : x
  2. Step 2: Convert to fraction form
    66,933/139,414 = 139,414/x
  3. Step 3: Cross multiply
    66,933x = 139,414 × 139,414
  4. Step 4: Simplify right side
    66,933x = 19,436,263,396
  5. Step 5: Solve for x
    x = 19,436,263,396/66,933
  6. Step 6: Final answer
    x = 290,383.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.