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Finding the Third Proportional to 71,039 and 155,443

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Solution

The third proportional to 71,039 and 155,443 is: 340,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,039 : 155,443 = 155,443 : x
  2. Step 2: Convert to fraction form
    71,039/155,443 = 155,443/x
  3. Step 3: Cross multiply
    71,039x = 155,443 × 155,443
  4. Step 4: Simplify right side
    71,039x = 24,162,526,249
  5. Step 5: Solve for x
    x = 24,162,526,249/71,039
  6. Step 6: Final answer
    x = 340,130.44

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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.