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Finding the Third Proportional to 121,942.13 and 185,265.56

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Solution

The third proportional to 121,942.13 and 185,265.56 is: 281,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,942.13 : 185,265.56 = 185,265.56 : x
  2. Step 2: Convert to fraction form
    121,942.13/185,265.56 = 185,265.56/x
  3. Step 3: Cross multiply
    121,942.13x = 185,265.56 × 185,265.56
  4. Step 4: Simplify right side
    121,942.13x = 34,323,328,648.44
  5. Step 5: Solve for x
    x = 34,323,328,648.44/121,942.13
  6. Step 6: Final answer
    x = 281,472.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.