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Finding the Third Proportional to 71,544.75 and 155,381.25

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Solution

The third proportional to 71,544.75 and 155,381.25 is: 337,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,544.75 : 155,381.25 = 155,381.25 : x
  2. Step 2: Convert to fraction form
    71,544.75/155,381.25 = 155,381.25/x
  3. Step 3: Cross multiply
    71,544.75x = 155,381.25 × 155,381.25
  4. Step 4: Simplify right side
    71,544.75x = 24,143,332,851.56
  5. Step 5: Solve for x
    x = 24,143,332,851.56/71,544.75
  6. Step 6: Final answer
    x = 337,457.78

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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.