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Finding the Third Proportional to 38,452 and 85,254

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Solution

The third proportional to 38,452 and 85,254 is: 189,021.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,452 : 85,254 = 85,254 : x
  2. Step 2: Convert to fraction form
    38,452/85,254 = 85,254/x
  3. Step 3: Cross multiply
    38,452x = 85,254 × 85,254
  4. Step 4: Simplify right side
    38,452x = 7,268,244,516
  5. Step 5: Solve for x
    x = 7,268,244,516/38,452
  6. Step 6: Final answer
    x = 189,021.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.