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Finding the Third Proportional to 67,058 and 146,404

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Solution

The third proportional to 67,058 and 146,404 is: 319,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,058 : 146,404 = 146,404 : x
  2. Step 2: Convert to fraction form
    67,058/146,404 = 146,404/x
  3. Step 3: Cross multiply
    67,058x = 146,404 × 146,404
  4. Step 4: Simplify right side
    67,058x = 21,434,131,216
  5. Step 5: Solve for x
    x = 21,434,131,216/67,058
  6. Step 6: Final answer
    x = 319,635.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.