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Finding the Third Proportional to 40,273 and 87,467

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Solution

The third proportional to 40,273 and 87,467 is: 189,965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,273 : 87,467 = 87,467 : x
  2. Step 2: Convert to fraction form
    40,273/87,467 = 87,467/x
  3. Step 3: Cross multiply
    40,273x = 87,467 × 87,467
  4. Step 4: Simplify right side
    40,273x = 7,650,476,089
  5. Step 5: Solve for x
    x = 7,650,476,089/40,273
  6. Step 6: Final answer
    x = 189,965.39

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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.