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Finding the Third Proportional to 67,943 and 144,108

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Solution

The third proportional to 67,943 and 144,108 is: 305,654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,943 : 144,108 = 144,108 : x
  2. Step 2: Convert to fraction form
    67,943/144,108 = 144,108/x
  3. Step 3: Cross multiply
    67,943x = 144,108 × 144,108
  4. Step 4: Simplify right side
    67,943x = 20,767,115,664
  5. Step 5: Solve for x
    x = 20,767,115,664/67,943
  6. Step 6: Final answer
    x = 305,654.97

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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.