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Finding the Third Proportional to 71,960 and 100,655

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Solution

The third proportional to 71,960 and 100,655 is: 140,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,960 : 100,655 = 100,655 : x
  2. Step 2: Convert to fraction form
    71,960/100,655 = 100,655/x
  3. Step 3: Cross multiply
    71,960x = 100,655 × 100,655
  4. Step 4: Simplify right side
    71,960x = 10,131,429,025
  5. Step 5: Solve for x
    x = 10,131,429,025/71,960
  6. Step 6: Final answer
    x = 140,792.51

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.