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Finding the Third Proportional to 68,203 and 149,941

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Solution

The third proportional to 68,203 and 149,941 is: 329,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,203 : 149,941 = 149,941 : x
  2. Step 2: Convert to fraction form
    68,203/149,941 = 149,941/x
  3. Step 3: Cross multiply
    68,203x = 149,941 × 149,941
  4. Step 4: Simplify right side
    68,203x = 22,482,303,481
  5. Step 5: Solve for x
    x = 22,482,303,481/68,203
  6. Step 6: Final answer
    x = 329,638.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.