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Finding the Third Proportional to 125,800 and 274,932

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Solution

The third proportional to 125,800 and 274,932 is: 600,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,800 : 274,932 = 274,932 : x
  2. Step 2: Convert to fraction form
    125,800/274,932 = 274,932/x
  3. Step 3: Cross multiply
    125,800x = 274,932 × 274,932
  4. Step 4: Simplify right side
    125,800x = 75,587,604,624
  5. Step 5: Solve for x
    x = 75,587,604,624/125,800
  6. Step 6: Final answer
    x = 600,855.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.