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Finding the Third Proportional to 67,977 and 147,629

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Solution

The third proportional to 67,977 and 147,629 is: 320,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,977 : 147,629 = 147,629 : x
  2. Step 2: Convert to fraction form
    67,977/147,629 = 147,629/x
  3. Step 3: Cross multiply
    67,977x = 147,629 × 147,629
  4. Step 4: Simplify right side
    67,977x = 21,794,321,641
  5. Step 5: Solve for x
    x = 21,794,321,641/67,977
  6. Step 6: Final answer
    x = 320,613.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.