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Finding the Third Proportional to 121,542 and 183,936

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Solution

The third proportional to 121,542 and 183,936 is: 278,360.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,542 : 183,936 = 183,936 : x
  2. Step 2: Convert to fraction form
    121,542/183,936 = 183,936/x
  3. Step 3: Cross multiply
    121,542x = 183,936 × 183,936
  4. Step 4: Simplify right side
    121,542x = 33,832,452,096
  5. Step 5: Solve for x
    x = 33,832,452,096/121,542
  6. Step 6: Final answer
    x = 278,360.17

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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.