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Finding the Third Proportional to 99,828 and 136,782

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Solution

The third proportional to 99,828 and 136,782 is: 187,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,828 : 136,782 = 136,782 : x
  2. Step 2: Convert to fraction form
    99,828/136,782 = 136,782/x
  3. Step 3: Cross multiply
    99,828x = 136,782 × 136,782
  4. Step 4: Simplify right side
    99,828x = 18,709,315,524
  5. Step 5: Solve for x
    x = 18,709,315,524/99,828
  6. Step 6: Final answer
    x = 187,415.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.