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Finding the Third Proportional to 55,177 and 85,592

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Solution

The third proportional to 55,177 and 85,592 is: 132,772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,177 : 85,592 = 85,592 : x
  2. Step 2: Convert to fraction form
    55,177/85,592 = 85,592/x
  3. Step 3: Cross multiply
    55,177x = 85,592 × 85,592
  4. Step 4: Simplify right side
    55,177x = 7,325,990,464
  5. Step 5: Solve for x
    x = 7,325,990,464/55,177
  6. Step 6: Final answer
    x = 132,772.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.