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Finding the Third Proportional to 71,706 and 155,847

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Solution

The third proportional to 71,706 and 155,847 is: 338,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,706 : 155,847 = 155,847 : x
  2. Step 2: Convert to fraction form
    71,706/155,847 = 155,847/x
  3. Step 3: Cross multiply
    71,706x = 155,847 × 155,847
  4. Step 4: Simplify right side
    71,706x = 24,288,287,409
  5. Step 5: Solve for x
    x = 24,288,287,409/71,706
  6. Step 6: Final answer
    x = 338,720.43

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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.