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Finding the Third Proportional to 65,756 and 144,027

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Solution

The third proportional to 65,756 and 144,027 is: 315,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,756 : 144,027 = 144,027 : x
  2. Step 2: Convert to fraction form
    65,756/144,027 = 144,027/x
  3. Step 3: Cross multiply
    65,756x = 144,027 × 144,027
  4. Step 4: Simplify right side
    65,756x = 20,743,776,729
  5. Step 5: Solve for x
    x = 20,743,776,729/65,756
  6. Step 6: Final answer
    x = 315,465.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.