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Finding the Third Proportional to 126,130 and 271,394

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Solution

The third proportional to 126,130 and 271,394 is: 583,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,130 : 271,394 = 271,394 : x
  2. Step 2: Convert to fraction form
    126,130/271,394 = 271,394/x
  3. Step 3: Cross multiply
    126,130x = 271,394 × 271,394
  4. Step 4: Simplify right side
    126,130x = 73,654,703,236
  5. Step 5: Solve for x
    x = 73,654,703,236/126,130
  6. Step 6: Final answer
    x = 583,958.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.