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Finding the Third Proportional to 65,812 and 144,742

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Solution

The third proportional to 65,812 and 144,742 is: 318,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,812 : 144,742 = 144,742 : x
  2. Step 2: Convert to fraction form
    65,812/144,742 = 144,742/x
  3. Step 3: Cross multiply
    65,812x = 144,742 × 144,742
  4. Step 4: Simplify right side
    65,812x = 20,950,246,564
  5. Step 5: Solve for x
    x = 20,950,246,564/65,812
  6. Step 6: Final answer
    x = 318,334.75

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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.