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Finding the Third Proportional to 67,626 and 144,633

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Solution

The third proportional to 67,626 and 144,633 is: 309,329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,626 : 144,633 = 144,633 : x
  2. Step 2: Convert to fraction form
    67,626/144,633 = 144,633/x
  3. Step 3: Cross multiply
    67,626x = 144,633 × 144,633
  4. Step 4: Simplify right side
    67,626x = 20,918,704,689
  5. Step 5: Solve for x
    x = 20,918,704,689/67,626
  6. Step 6: Final answer
    x = 309,329.32

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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.