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Finding the Third Proportional to 87,544 and 211,064

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Solution

The third proportional to 87,544 and 211,064 is: 508,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,544 : 211,064 = 211,064 : x
  2. Step 2: Convert to fraction form
    87,544/211,064 = 211,064/x
  3. Step 3: Cross multiply
    87,544x = 211,064 × 211,064
  4. Step 4: Simplify right side
    87,544x = 44,548,012,096
  5. Step 5: Solve for x
    x = 44,548,012,096/87,544
  6. Step 6: Final answer
    x = 508,864.25

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.