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Finding the Third Proportional to 71,544 and 155,389

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Solution

The third proportional to 71,544 and 155,389 is: 337,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,544 : 155,389 = 155,389 : x
  2. Step 2: Convert to fraction form
    71,544/155,389 = 155,389/x
  3. Step 3: Cross multiply
    71,544x = 155,389 × 155,389
  4. Step 4: Simplify right side
    71,544x = 24,145,741,321
  5. Step 5: Solve for x
    x = 24,145,741,321/71,544
  6. Step 6: Final answer
    x = 337,494.99

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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.