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Finding the Third Proportional to 121,249.51 and 183,551.70

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Solution

The third proportional to 121,249.51 and 183,551.70 is: 277,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,249.51 : 183,551.70 = 183,551.70 : x
  2. Step 2: Convert to fraction form
    121,249.51/183,551.70 = 183,551.70/x
  3. Step 3: Cross multiply
    121,249.51x = 183,551.70 × 183,551.70
  4. Step 4: Simplify right side
    121,249.51x = 33,691,224,852.09
  5. Step 5: Solve for x
    x = 33,691,224,852.09/121,249.51
  6. Step 6: Final answer
    x = 277,866.89

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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.