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Finding the Third Proportional to 67,648 and 144,684

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Solution

The third proportional to 67,648 and 144,684 is: 309,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,648 : 144,684 = 144,684 : x
  2. Step 2: Convert to fraction form
    67,648/144,684 = 144,684/x
  3. Step 3: Cross multiply
    67,648x = 144,684 × 144,684
  4. Step 4: Simplify right side
    67,648x = 20,933,459,856
  5. Step 5: Solve for x
    x = 20,933,459,856/67,648
  6. Step 6: Final answer
    x = 309,446.84

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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.