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Finding the Third Proportional to 41,408 and 86,656

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Solution

The third proportional to 41,408 and 86,656 is: 181,348.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,408 : 86,656 = 86,656 : x
  2. Step 2: Convert to fraction form
    41,408/86,656 = 86,656/x
  3. Step 3: Cross multiply
    41,408x = 86,656 × 86,656
  4. Step 4: Simplify right side
    41,408x = 7,509,262,336
  5. Step 5: Solve for x
    x = 7,509,262,336/41,408
  6. Step 6: Final answer
    x = 181,348.11

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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.