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Finding the Third Proportional to 67,549.88 and 146,991.38

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Solution

The third proportional to 67,549.88 and 146,991.38 is: 319,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,549.88 : 146,991.38 = 146,991.38 : x
  2. Step 2: Convert to fraction form
    67,549.88/146,991.38 = 146,991.38/x
  3. Step 3: Cross multiply
    67,549.88x = 146,991.38 × 146,991.38
  4. Step 4: Simplify right side
    67,549.88x = 21,606,464,324.39
  5. Step 5: Solve for x
    x = 21,606,464,324.39/67,549.88
  6. Step 6: Final answer
    x = 319,859.43

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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.