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Finding the Third Proportional to 125,716 and 274,760

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Solution

The third proportional to 125,716 and 274,760 is: 600,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,716 : 274,760 = 274,760 : x
  2. Step 2: Convert to fraction form
    125,716/274,760 = 274,760/x
  3. Step 3: Cross multiply
    125,716x = 274,760 × 274,760
  4. Step 4: Simplify right side
    125,716x = 75,493,057,600
  5. Step 5: Solve for x
    x = 75,493,057,600/125,716
  6. Step 6: Final answer
    x = 600,504.77

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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.