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Finding the Third Proportional to 103,961 and 165,273

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Solution

The third proportional to 103,961 and 165,273 is: 262,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,961 : 165,273 = 165,273 : x
  2. Step 2: Convert to fraction form
    103,961/165,273 = 165,273/x
  3. Step 3: Cross multiply
    103,961x = 165,273 × 165,273
  4. Step 4: Simplify right side
    103,961x = 27,315,164,529
  5. Step 5: Solve for x
    x = 27,315,164,529/103,961
  6. Step 6: Final answer
    x = 262,744.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.