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Finding the Third Proportional to 34,767 and 87,327

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Solution

The third proportional to 34,767 and 87,327 is: 219,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,767 : 87,327 = 87,327 : x
  2. Step 2: Convert to fraction form
    34,767/87,327 = 87,327/x
  3. Step 3: Cross multiply
    34,767x = 87,327 × 87,327
  4. Step 4: Simplify right side
    34,767x = 7,626,004,929
  5. Step 5: Solve for x
    x = 7,626,004,929/34,767
  6. Step 6: Final answer
    x = 219,346.07

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Why These Related Problems?

These problems maintain the same ratio (2.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.