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Finding the Third Proportional to 67,738 and 144,817

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Solution

The third proportional to 67,738 and 144,817 is: 309,604.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,738 : 144,817 = 144,817 : x
  2. Step 2: Convert to fraction form
    67,738/144,817 = 144,817/x
  3. Step 3: Cross multiply
    67,738x = 144,817 × 144,817
  4. Step 4: Simplify right side
    67,738x = 20,971,963,489
  5. Step 5: Solve for x
    x = 20,971,963,489/67,738
  6. Step 6: Final answer
    x = 309,604.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.