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Finding the Third Proportional to 67,104 and 144,648

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Solution

The third proportional to 67,104 and 144,648 is: 311,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,104 : 144,648 = 144,648 : x
  2. Step 2: Convert to fraction form
    67,104/144,648 = 144,648/x
  3. Step 3: Cross multiply
    67,104x = 144,648 × 144,648
  4. Step 4: Simplify right side
    67,104x = 20,923,043,904
  5. Step 5: Solve for x
    x = 20,923,043,904/67,104
  6. Step 6: Final answer
    x = 311,800.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.