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Finding the Third Proportional to 51,957 and 75,991

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Solution

The third proportional to 51,957 and 75,991 is: 111,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,957 : 75,991 = 75,991 : x
  2. Step 2: Convert to fraction form
    51,957/75,991 = 75,991/x
  3. Step 3: Cross multiply
    51,957x = 75,991 × 75,991
  4. Step 4: Simplify right side
    51,957x = 5,774,632,081
  5. Step 5: Solve for x
    x = 5,774,632,081/51,957
  6. Step 6: Final answer
    x = 111,142.52

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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.