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Finding the Third Proportional to 125,230 and 271,692

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Solution

The third proportional to 125,230 and 271,692 is: 589,447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,230 : 271,692 = 271,692 : x
  2. Step 2: Convert to fraction form
    125,230/271,692 = 271,692/x
  3. Step 3: Cross multiply
    125,230x = 271,692 × 271,692
  4. Step 4: Simplify right side
    125,230x = 73,816,542,864
  5. Step 5: Solve for x
    x = 73,816,542,864/125,230
  6. Step 6: Final answer
    x = 589,447.76

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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.