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Finding the Third Proportional to 79,544 and 107,644

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Solution

The third proportional to 79,544 and 107,644 is: 145,670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,544 : 107,644 = 107,644 : x
  2. Step 2: Convert to fraction form
    79,544/107,644 = 107,644/x
  3. Step 3: Cross multiply
    79,544x = 107,644 × 107,644
  4. Step 4: Simplify right side
    79,544x = 11,587,230,736
  5. Step 5: Solve for x
    x = 11,587,230,736/79,544
  6. Step 6: Final answer
    x = 145,670.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.