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Finding the Third Proportional to 71,541 and 155,394

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Solution

The third proportional to 71,541 and 155,394 is: 337,530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,541 : 155,394 = 155,394 : x
  2. Step 2: Convert to fraction form
    71,541/155,394 = 155,394/x
  3. Step 3: Cross multiply
    71,541x = 155,394 × 155,394
  4. Step 4: Simplify right side
    71,541x = 24,147,295,236
  5. Step 5: Solve for x
    x = 24,147,295,236/71,541
  6. Step 6: Final answer
    x = 337,530.86

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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.