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Finding the Third Proportional to 55,268 and 85,100

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Solution

The third proportional to 55,268 and 85,100 is: 131,034.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,268 : 85,100 = 85,100 : x
  2. Step 2: Convert to fraction form
    55,268/85,100 = 85,100/x
  3. Step 3: Cross multiply
    55,268x = 85,100 × 85,100
  4. Step 4: Simplify right side
    55,268x = 7,242,010,000
  5. Step 5: Solve for x
    x = 7,242,010,000/55,268
  6. Step 6: Final answer
    x = 131,034.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.