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Finding the Third Proportional to 55,706.33 and 120,292.83

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Solution

The third proportional to 55,706.33 and 120,292.83 is: 259,761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,706.33 : 120,292.83 = 120,292.83 : x
  2. Step 2: Convert to fraction form
    55,706.33/120,292.83 = 120,292.83/x
  3. Step 3: Cross multiply
    55,706.33x = 120,292.83 × 120,292.83
  4. Step 4: Simplify right side
    55,706.33x = 14,470,365,203.15
  5. Step 5: Solve for x
    x = 14,470,365,203.15/55,706.33
  6. Step 6: Final answer
    x = 259,761.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.