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Finding the Third Proportional to 67,389 and 144,620

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Solution

The third proportional to 67,389 and 144,620 is: 310,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,389 : 144,620 = 144,620 : x
  2. Step 2: Convert to fraction form
    67,389/144,620 = 144,620/x
  3. Step 3: Cross multiply
    67,389x = 144,620 × 144,620
  4. Step 4: Simplify right side
    67,389x = 20,914,944,400
  5. Step 5: Solve for x
    x = 20,914,944,400/67,389
  6. Step 6: Final answer
    x = 310,361.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.