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Finding the Third Proportional to 125,682 and 273,180

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Solution

The third proportional to 125,682 and 273,180 is: 593,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,682 : 273,180 = 273,180 : x
  2. Step 2: Convert to fraction form
    125,682/273,180 = 273,180/x
  3. Step 3: Cross multiply
    125,682x = 273,180 × 273,180
  4. Step 4: Simplify right side
    125,682x = 74,627,312,400
  5. Step 5: Solve for x
    x = 74,627,312,400/125,682
  6. Step 6: Final answer
    x = 593,778.84

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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.