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Finding the Third Proportional to 125,754 and 274,828

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Solution

The third proportional to 125,754 and 274,828 is: 600,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,754 : 274,828 = 274,828 : x
  2. Step 2: Convert to fraction form
    125,754/274,828 = 274,828/x
  3. Step 3: Cross multiply
    125,754x = 274,828 × 274,828
  4. Step 4: Simplify right side
    125,754x = 75,530,429,584
  5. Step 5: Solve for x
    x = 75,530,429,584/125,754
  6. Step 6: Final answer
    x = 600,620.49

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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.