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Finding the Third Proportional to 41,394 and 86,536

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Solution

The third proportional to 41,394 and 86,536 is: 180,907.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,394 : 86,536 = 86,536 : x
  2. Step 2: Convert to fraction form
    41,394/86,536 = 86,536/x
  3. Step 3: Cross multiply
    41,394x = 86,536 × 86,536
  4. Step 4: Simplify right side
    41,394x = 7,488,479,296
  5. Step 5: Solve for x
    x = 7,488,479,296/41,394
  6. Step 6: Final answer
    x = 180,907.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.