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Finding the Third Proportional to 75,372 and 119,977

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Solution

The third proportional to 75,372 and 119,977 is: 190,979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,372 : 119,977 = 119,977 : x
  2. Step 2: Convert to fraction form
    75,372/119,977 = 119,977/x
  3. Step 3: Cross multiply
    75,372x = 119,977 × 119,977
  4. Step 4: Simplify right side
    75,372x = 14,394,480,529
  5. Step 5: Solve for x
    x = 14,394,480,529/75,372
  6. Step 6: Final answer
    x = 190,979.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.