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Finding the Third Proportional to 55,742.50 and 122,555

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Solution

The third proportional to 55,742.50 and 122,555 is: 269,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,742.50 : 122,555 = 122,555 : x
  2. Step 2: Convert to fraction form
    55,742.50/122,555 = 122,555/x
  3. Step 3: Cross multiply
    55,742.50x = 122,555 × 122,555
  4. Step 4: Simplify right side
    55,742.50x = 15,019,728,025
  5. Step 5: Solve for x
    x = 15,019,728,025/55,742.50
  6. Step 6: Final answer
    x = 269,448.41

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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.