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Finding the Third Proportional to 71,963 and 152,694

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Solution

The third proportional to 71,963 and 152,694 is: 323,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,963 : 152,694 = 152,694 : x
  2. Step 2: Convert to fraction form
    71,963/152,694 = 152,694/x
  3. Step 3: Cross multiply
    71,963x = 152,694 × 152,694
  4. Step 4: Simplify right side
    71,963x = 23,315,457,636
  5. Step 5: Solve for x
    x = 23,315,457,636/71,963
  6. Step 6: Final answer
    x = 323,992.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.