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Finding the Third Proportional to 51,950 and 75,981

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Solution

The third proportional to 51,950 and 75,981 is: 111,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,950 : 75,981 = 75,981 : x
  2. Step 2: Convert to fraction form
    51,950/75,981 = 75,981/x
  3. Step 3: Cross multiply
    51,950x = 75,981 × 75,981
  4. Step 4: Simplify right side
    51,950x = 5,773,112,361
  5. Step 5: Solve for x
    x = 5,773,112,361/51,950
  6. Step 6: Final answer
    x = 111,128.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.