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Finding the Third Proportional to 55,596.38 and 122,261.91

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Solution

The third proportional to 55,596.38 and 122,261.91 is: 268,865.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,596.38 : 122,261.91 = 122,261.91 : x
  2. Step 2: Convert to fraction form
    55,596.38/122,261.91 = 122,261.91/x
  3. Step 3: Cross multiply
    55,596.38x = 122,261.91 × 122,261.91
  4. Step 4: Simplify right side
    55,596.38x = 14,947,973,719.88
  5. Step 5: Solve for x
    x = 14,947,973,719.88/55,596.38
  6. Step 6: Final answer
    x = 268,865.98

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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.