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Finding the Third Proportional to 55,874 and 75,927

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Solution

The third proportional to 55,874 and 75,927 is: 103,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,874 : 75,927 = 75,927 : x
  2. Step 2: Convert to fraction form
    55,874/75,927 = 75,927/x
  3. Step 3: Cross multiply
    55,874x = 75,927 × 75,927
  4. Step 4: Simplify right side
    55,874x = 5,764,909,329
  5. Step 5: Solve for x
    x = 5,764,909,329/55,874
  6. Step 6: Final answer
    x = 103,176.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.