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Finding the Third Proportional to 51,954 and 75,987

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Solution

The third proportional to 51,954 and 75,987 is: 111,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,954 : 75,987 = 75,987 : x
  2. Step 2: Convert to fraction form
    51,954/75,987 = 75,987/x
  3. Step 3: Cross multiply
    51,954x = 75,987 × 75,987
  4. Step 4: Simplify right side
    51,954x = 5,774,024,169
  5. Step 5: Solve for x
    x = 5,774,024,169/51,954
  6. Step 6: Final answer
    x = 111,137.24

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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.