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Finding the Third Proportional to 55,798.88 and 122,684.63

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Solution

The third proportional to 55,798.88 and 122,684.63 is: 269,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,798.88 : 122,684.63 = 122,684.63 : x
  2. Step 2: Convert to fraction form
    55,798.88/122,684.63 = 122,684.63/x
  3. Step 3: Cross multiply
    55,798.88x = 122,684.63 × 122,684.63
  4. Step 4: Simplify right side
    55,798.88x = 15,051,517,211.39
  5. Step 5: Solve for x
    x = 15,051,517,211.39/55,798.88
  6. Step 6: Final answer
    x = 269,745.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.