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Finding the Third Proportional to 120,834 and 183,811

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Solution

The third proportional to 120,834 and 183,811 is: 279,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,834 : 183,811 = 183,811 : x
  2. Step 2: Convert to fraction form
    120,834/183,811 = 183,811/x
  3. Step 3: Cross multiply
    120,834x = 183,811 × 183,811
  4. Step 4: Simplify right side
    120,834x = 33,786,483,721
  5. Step 5: Solve for x
    x = 33,786,483,721/120,834
  6. Step 6: Final answer
    x = 279,610.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.