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Finding the Third Proportional to 121,435 and 183,849

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Solution

The third proportional to 121,435 and 183,849 is: 278,341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,435 : 183,849 = 183,849 : x
  2. Step 2: Convert to fraction form
    121,435/183,849 = 183,849/x
  3. Step 3: Cross multiply
    121,435x = 183,849 × 183,849
  4. Step 4: Simplify right side
    121,435x = 33,800,454,801
  5. Step 5: Solve for x
    x = 33,800,454,801/121,435
  6. Step 6: Final answer
    x = 278,341.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.