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Finding the Third Proportional to 121,505.06 and 182,256.75

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Solution

The third proportional to 121,505.06 and 182,256.75 is: 273,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,505.06 : 182,256.75 = 182,256.75 : x
  2. Step 2: Convert to fraction form
    121,505.06/182,256.75 = 182,256.75/x
  3. Step 3: Cross multiply
    121,505.06x = 182,256.75 × 182,256.75
  4. Step 4: Simplify right side
    121,505.06x = 33,217,522,920.56
  5. Step 5: Solve for x
    x = 33,217,522,920.56/121,505.06
  6. Step 6: Final answer
    x = 273,383.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.