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Finding the Third Proportional to 55,014 and 79,927

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Solution

The third proportional to 55,014 and 79,927 is: 116,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,014 : 79,927 = 79,927 : x
  2. Step 2: Convert to fraction form
    55,014/79,927 = 79,927/x
  3. Step 3: Cross multiply
    55,014x = 79,927 × 79,927
  4. Step 4: Simplify right side
    55,014x = 6,388,325,329
  5. Step 5: Solve for x
    x = 6,388,325,329/55,014
  6. Step 6: Final answer
    x = 116,121.81

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.