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Finding the Third Proportional to 125,696 and 271,073

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Solution

The third proportional to 125,696 and 271,073 is: 584,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,696 : 271,073 = 271,073 : x
  2. Step 2: Convert to fraction form
    125,696/271,073 = 271,073/x
  3. Step 3: Cross multiply
    125,696x = 271,073 × 271,073
  4. Step 4: Simplify right side
    125,696x = 73,480,571,329
  5. Step 5: Solve for x
    x = 73,480,571,329/125,696
  6. Step 6: Final answer
    x = 584,589.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.