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Finding the Third Proportional to 121,251.19 and 183,553.97

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Solution

The third proportional to 121,251.19 and 183,553.97 is: 277,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,251.19 : 183,553.97 = 183,553.97 : x
  2. Step 2: Convert to fraction form
    121,251.19/183,553.97 = 183,553.97/x
  3. Step 3: Cross multiply
    121,251.19x = 183,553.97 × 183,553.97
  4. Step 4: Simplify right side
    121,251.19x = 33,692,059,443.88
  5. Step 5: Solve for x
    x = 33,692,059,443.88/121,251.19
  6. Step 6: Final answer
    x = 277,869.93

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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.