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Finding the Third Proportional to 67,880 and 149,044

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Solution

The third proportional to 67,880 and 149,044 is: 327,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,880 : 149,044 = 149,044 : x
  2. Step 2: Convert to fraction form
    67,880/149,044 = 149,044/x
  3. Step 3: Cross multiply
    67,880x = 149,044 × 149,044
  4. Step 4: Simplify right side
    67,880x = 22,214,113,936
  5. Step 5: Solve for x
    x = 22,214,113,936/67,880
  6. Step 6: Final answer
    x = 327,255.66

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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.