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Finding the Third Proportional to 67,941 and 144,103.50

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Solution

The third proportional to 67,941 and 144,103.50 is: 305,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,941 : 144,103.50 = 144,103.50 : x
  2. Step 2: Convert to fraction form
    67,941/144,103.50 = 144,103.50/x
  3. Step 3: Cross multiply
    67,941x = 144,103.50 × 144,103.50
  4. Step 4: Simplify right side
    67,941x = 20,765,818,712.25
  5. Step 5: Solve for x
    x = 20,765,818,712.25/67,941
  6. Step 6: Final answer
    x = 305,644.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.