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Finding the Third Proportional to 55,692.56 and 122,456.81

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Solution

The third proportional to 55,692.56 and 122,456.81 is: 269,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,692.56 : 122,456.81 = 122,456.81 : x
  2. Step 2: Convert to fraction form
    55,692.56/122,456.81 = 122,456.81/x
  3. Step 3: Cross multiply
    55,692.56x = 122,456.81 × 122,456.81
  4. Step 4: Simplify right side
    55,692.56x = 14,995,670,927.66
  5. Step 5: Solve for x
    x = 14,995,670,927.66/55,692.56
  6. Step 6: Final answer
    x = 269,258.05

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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.